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Finding the Fourth Proportional to 725.41, 1,088.39 and 432.87

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Solution

The fourth proportional to 725.41, 1,088.39 and 432.87 is: 649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.41 : 1,088.39 = 432.87 : x
  2. Step 2: Convert to fraction form
    725.41/1,088.39 = 432.87/x
  3. Step 3: Cross multiply
    725.41x = 1,088.39 × 432.87
  4. Step 4: Simplify right side
    725.41x = 471,131.38
  5. Step 5: Solve for x
    x = 471,131.38/725.41
  6. Step 6: Final answer
    x = 649.47

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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.