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Finding the Fourth Proportional to 725.69, 1,088.78 and 433.15

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Solution

The fourth proportional to 725.69, 1,088.78 and 433.15 is: 649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.69 : 1,088.78 = 433.15 : x
  2. Step 2: Convert to fraction form
    725.69/1,088.78 = 433.15/x
  3. Step 3: Cross multiply
    725.69x = 1,088.78 × 433.15
  4. Step 4: Simplify right side
    725.69x = 471,600.17
  5. Step 5: Solve for x
    x = 471,600.17/725.69
  6. Step 6: Final answer
    x = 649.86

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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.