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Finding the Fourth Proportional to 724.88, 1,000.42 and 405.88

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Solution

The fourth proportional to 724.88, 1,000.42 and 405.88 is: 560.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.88 : 1,000.42 = 405.88 : x
  2. Step 2: Convert to fraction form
    724.88/1,000.42 = 405.88/x
  3. Step 3: Cross multiply
    724.88x = 1,000.42 × 405.88
  4. Step 4: Simplify right side
    724.88x = 406,050.47
  5. Step 5: Solve for x
    x = 406,050.47/724.88
  6. Step 6: Final answer
    x = 560.16

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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.