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Finding the Fourth Proportional to 725.11, 1,087.67 and 177.29

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Solution

The fourth proportional to 725.11, 1,087.67 and 177.29 is: 265.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.11 : 1,087.67 = 177.29 : x
  2. Step 2: Convert to fraction form
    725.11/1,087.67 = 177.29/x
  3. Step 3: Cross multiply
    725.11x = 1,087.67 × 177.29
  4. Step 4: Simplify right side
    725.11x = 192,832.13
  5. Step 5: Solve for x
    x = 192,832.13/725.11
  6. Step 6: Final answer
    x = 265.94

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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.