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Finding the Fourth Proportional to 725.14, 1,000.97 and 476.52

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Solution

The fourth proportional to 725.14, 1,000.97 and 476.52 is: 657.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.14 : 1,000.97 = 476.52 : x
  2. Step 2: Convert to fraction form
    725.14/1,000.97 = 476.52/x
  3. Step 3: Cross multiply
    725.14x = 1,000.97 × 476.52
  4. Step 4: Simplify right side
    725.14x = 476,982.22
  5. Step 5: Solve for x
    x = 476,982.22/725.14
  6. Step 6: Final answer
    x = 657.78

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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.