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Finding the Fourth Proportional to 724.50, 999.68 and 429.70

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Solution

The fourth proportional to 724.50, 999.68 and 429.70 is: 592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 999.68 = 429.70 : x
  2. Step 2: Convert to fraction form
    724.50/999.68 = 429.70/x
  3. Step 3: Cross multiply
    724.50x = 999.68 × 429.70
  4. Step 4: Simplify right side
    724.50x = 429,562.50
  5. Step 5: Solve for x
    x = 429,562.50/724.50
  6. Step 6: Final answer
    x = 592.91

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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.