The throw ratio for the NEBULA Cosmos 4K SE is 1.2:1. This is a fixed value (no zoom), meaning the projector is a standard-throw model.
What the Throw Ratio Means
Throw ratio = projection distance ÷ image width
(both in the same units, e.g., feet or meters)
For this projector:
Distance (from lens to screen) = 1.2 × Image Width
- It’s measured from the projector’s lens (usually near the front) to the screen surface.
- This assumes a 16:9 aspect ratio image (the projector’s native aspect ratio).
- Image height = Image width × (9/16) ≈ Image width × 0.5625
- Diagonal (inches) = √(width² + height²) × 12 (converting ft to inches if needed)
Step-by-Step Math Examples
-
Your previous example: 4 ft height × 6 ft width image
- Width = 6 ft
- Distance = 1.2 × 6 = 7.2 ft (≈ 2.19 meters)
- Diagonal check: √(6² + 4²) = √(36 + 16) = √52 ≈ 7.21 ft → ×12 = ≈86.5 inches diagonal
(This matches typical charts: around 86-90" diagonal requires roughly 7.2-7.9 ft.)
-
Common reference: 100-inch diagonal (16:9)
- For 16:9, width ≈ diagonal × (16 / √(337)) ≈ diagonal × 0.8716 (in same units)
- 100-inch diagonal → width ≈ 100 × 0.8716 ≈ 87.16 inches ≈ 7.26 ft
- Distance = 1.2 × 7.26 ≈ 8.72 ft (≈ 2.66 meters)
(This aligns with official and calculator data for 100".)
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General formula to find distance from desired diagonal (inches, 16:9)
- Width (inches) = diagonal × (16 / √(16² + 9²)) = diagonal × (16 / √337) ≈ diagonal × 0.8716
- Width (feet) = width (inches) / 12
- Distance (feet) = 1.2 × width (feet)
- Or shortcut: Distance (ft) ≈ (diagonal inches × 0.8716 × 1.2) / 12 ≈ diagonal inches × 0.08716
-
To find image width from a known distance
- Width (ft) = Distance (ft) / 1.2
- Example: If you place it 10 ft away → Width ≈ 10 / 1.2 ≈ 8.33 ft wide
→ Height ≈ 8.33 × 0.5625 ≈ 4.69 ft
→ Diagonal ≈ √(8.33² + 4.69²) × 12 ≈ 95 inches
Quick Reference Table (Calculated from 1.2:1 Throw Ratio, 16:9)
| Diagonal (inches) | Width (ft) | Height (ft) | Throw Distance (ft) | Throw Distance (m) |
|---|---|---|---|---|
| 60" | ≈4.36 | ≈2.45 | ≈5.23 | ≈1.59 |
| 80" | ≈5.81 | ≈3.27 | ≈6.97 | ≈2.12 |
| 90" | ≈6.54 | ≈3.68 | ≈7.85 | ≈2.39 |
| 100" | ≈7.26 | ≈4.09 | ≈8.72 | ≈2.66 |
| 120" | ≈8.72 | ≈4.90 | ≈10.46 | ≈3.19 |
| 150" | ≈10.90 | ≈6.13 | ≈13.08 | ≈3.99 |
| 200" | ≈14.53 | ≈8.17 | ≈17.44 | ≈5.31 |
These are precise calculations using the 1.2:1 ratio and match the projector’s official range (60–200" from ~5.2–17.4 ft). Minor variations (± a few inches) can occur due to lens offset (100% here, meaning the bottom of the image aligns with the lens level) or exact measurement from lens vs. front of unit, but 1.2 × width is the core math.
To get any size you want: Measure your available room depth → divide by 1.2 → that’s your max width → scale height for 16:9. Or start with desired width → multiply by 1.2 for needed distance. Super straightforward once you lock in the ratio!