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Finding the Fourth Proportional to 724.31, 999.43 and 429.53

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Solution

The fourth proportional to 724.31, 999.43 and 429.53 is: 592.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.31 : 999.43 = 429.53 : x
  2. Step 2: Convert to fraction form
    724.31/999.43 = 429.53/x
  3. Step 3: Cross multiply
    724.31x = 999.43 × 429.53
  4. Step 4: Simplify right side
    724.31x = 429,285.17
  5. Step 5: Solve for x
    x = 429,285.17/724.31
  6. Step 6: Final answer
    x = 592.68

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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.