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Finding the Fourth Proportional to 854.75, 1,180.14 and 560.52

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Solution

The fourth proportional to 854.75, 1,180.14 and 560.52 is: 773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.75 : 1,180.14 = 560.52 : x
  2. Step 2: Convert to fraction form
    854.75/1,180.14 = 560.52/x
  3. Step 3: Cross multiply
    854.75x = 1,180.14 × 560.52
  4. Step 4: Simplify right side
    854.75x = 661,489.97
  5. Step 5: Solve for x
    x = 661,489.97/854.75
  6. Step 6: Final answer
    x = 773.90

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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.