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Finding the Fourth Proportional to 725.29, 1,087.53 and 638.82

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Solution

The fourth proportional to 725.29, 1,087.53 and 638.82 is: 957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.29 : 1,087.53 = 638.82 : x
  2. Step 2: Convert to fraction form
    725.29/1,087.53 = 638.82/x
  3. Step 3: Cross multiply
    725.29x = 1,087.53 × 638.82
  4. Step 4: Simplify right side
    725.29x = 694,733.52
  5. Step 5: Solve for x
    x = 694,733.52/725.29
  6. Step 6: Final answer
    x = 957.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.