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Finding the Fourth Proportional to 724.59, 1,000.11 and 429.96

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Solution

The fourth proportional to 724.59, 1,000.11 and 429.96 is: 593.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.59 : 1,000.11 = 429.96 : x
  2. Step 2: Convert to fraction form
    724.59/1,000.11 = 429.96/x
  3. Step 3: Cross multiply
    724.59x = 1,000.11 × 429.96
  4. Step 4: Simplify right side
    724.59x = 430,007.30
  5. Step 5: Solve for x
    x = 430,007.30/724.59
  6. Step 6: Final answer
    x = 593.45

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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.