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Finding the Fourth Proportional to 725.89, 1,001.72 and 394.31

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Solution

The fourth proportional to 725.89, 1,001.72 and 394.31 is: 544.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.89 : 1,001.72 = 394.31 : x
  2. Step 2: Convert to fraction form
    725.89/1,001.72 = 394.31/x
  3. Step 3: Cross multiply
    725.89x = 1,001.72 × 394.31
  4. Step 4: Simplify right side
    725.89x = 394,990.22
  5. Step 5: Solve for x
    x = 394,990.22/725.89
  6. Step 6: Final answer
    x = 544.15

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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.