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Finding the Fourth Proportional to 725.57, 1,001.76 and 489.78

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Solution

The fourth proportional to 725.57, 1,001.76 and 489.78 is: 676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.57 : 1,001.76 = 489.78 : x
  2. Step 2: Convert to fraction form
    725.57/1,001.76 = 489.78/x
  3. Step 3: Cross multiply
    725.57x = 1,001.76 × 489.78
  4. Step 4: Simplify right side
    725.57x = 490,642.01
  5. Step 5: Solve for x
    x = 490,642.01/725.57
  6. Step 6: Final answer
    x = 676.22

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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.