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Finding the Fourth Proportional to 725.34, 1,001.13 and 426.72

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Solution

The fourth proportional to 725.34, 1,001.13 and 426.72 is: 588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.34 : 1,001.13 = 426.72 : x
  2. Step 2: Convert to fraction form
    725.34/1,001.13 = 426.72/x
  3. Step 3: Cross multiply
    725.34x = 1,001.13 × 426.72
  4. Step 4: Simplify right side
    725.34x = 427,202.19
  5. Step 5: Solve for x
    x = 427,202.19/725.34
  6. Step 6: Final answer
    x = 588.97

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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.