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Finding the Fourth Proportional to 724.73, 1,000.13 and 430.14

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Solution

The fourth proportional to 724.73, 1,000.13 and 430.14 is: 593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.73 : 1,000.13 = 430.14 : x
  2. Step 2: Convert to fraction form
    724.73/1,000.13 = 430.14/x
  3. Step 3: Cross multiply
    724.73x = 1,000.13 × 430.14
  4. Step 4: Simplify right side
    724.73x = 430,195.92
  5. Step 5: Solve for x
    x = 430,195.92/724.73
  6. Step 6: Final answer
    x = 593.59

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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.