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Finding the Fourth Proportional to 528.92, 728.15 and 463.31

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Solution

The fourth proportional to 528.92, 728.15 and 463.31 is: 637.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.92 : 728.15 = 463.31 : x
  2. Step 2: Convert to fraction form
    528.92/728.15 = 463.31/x
  3. Step 3: Cross multiply
    528.92x = 728.15 × 463.31
  4. Step 4: Simplify right side
    528.92x = 337,359.18
  5. Step 5: Solve for x
    x = 337,359.18/528.92
  6. Step 6: Final answer
    x = 637.83

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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.