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Finding the Fourth Proportional to 809.38, 1,116.33 and 561.11

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Solution

The fourth proportional to 809.38, 1,116.33 and 561.11 is: 773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.38 : 1,116.33 = 561.11 : x
  2. Step 2: Convert to fraction form
    809.38/1,116.33 = 561.11/x
  3. Step 3: Cross multiply
    809.38x = 1,116.33 × 561.11
  4. Step 4: Simplify right side
    809.38x = 626,383.93
  5. Step 5: Solve for x
    x = 626,383.93/809.38
  6. Step 6: Final answer
    x = 773.91

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.