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Finding the Fourth Proportional to 529.38, 731.12 and 462.78

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Solution

The fourth proportional to 529.38, 731.12 and 462.78 is: 639.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 731.12 = 462.78 : x
  2. Step 2: Convert to fraction form
    529.38/731.12 = 462.78/x
  3. Step 3: Cross multiply
    529.38x = 731.12 × 462.78
  4. Step 4: Simplify right side
    529.38x = 338,345.40
  5. Step 5: Solve for x
    x = 338,345.40/529.38
  6. Step 6: Final answer
    x = 639.14

Related Problems

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Half scale
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Double scale
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Similar ratio
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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.