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Finding the Fourth Proportional to 725.22, 1,086.89 and 291.87

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Solution

The fourth proportional to 725.22, 1,086.89 and 291.87 is: 437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.22 : 1,086.89 = 291.87 : x
  2. Step 2: Convert to fraction form
    725.22/1,086.89 = 291.87/x
  3. Step 3: Cross multiply
    725.22x = 1,086.89 × 291.87
  4. Step 4: Simplify right side
    725.22x = 317,229.12
  5. Step 5: Solve for x
    x = 317,229.12/725.22
  6. Step 6: Final answer
    x = 437.42

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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.