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Finding the Fourth Proportional to 724.47, 999.51 and 429.71

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Solution

The fourth proportional to 724.47, 999.51 and 429.71 is: 592.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.47 : 999.51 = 429.71 : x
  2. Step 2: Convert to fraction form
    724.47/999.51 = 429.71/x
  3. Step 3: Cross multiply
    724.47x = 999.51 × 429.71
  4. Step 4: Simplify right side
    724.47x = 429,494.44
  5. Step 5: Solve for x
    x = 429,494.44/724.47
  6. Step 6: Final answer
    x = 592.84

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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.