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Finding the Fourth Proportional to 725.84, 1,001.87 and 431.31

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Solution

The fourth proportional to 725.84, 1,001.87 and 431.31 is: 595.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.84 : 1,001.87 = 431.31 : x
  2. Step 2: Convert to fraction form
    725.84/1,001.87 = 431.31/x
  3. Step 3: Cross multiply
    725.84x = 1,001.87 × 431.31
  4. Step 4: Simplify right side
    725.84x = 432,114.39
  5. Step 5: Solve for x
    x = 432,114.39/725.84
  6. Step 6: Final answer
    x = 595.33

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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.