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Finding the Fourth Proportional to 732.74, 1,098.86 and 560.52

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Solution

The fourth proportional to 732.74, 1,098.86 and 560.52 is: 840.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.74 : 1,098.86 = 560.52 : x
  2. Step 2: Convert to fraction form
    732.74/1,098.86 = 560.52/x
  3. Step 3: Cross multiply
    732.74x = 1,098.86 × 560.52
  4. Step 4: Simplify right side
    732.74x = 615,930.20
  5. Step 5: Solve for x
    x = 615,930.20/732.74
  6. Step 6: Final answer
    x = 840.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.