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Finding the Fourth Proportional to 725.45, 1,001.12 and 426.65

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Solution

The fourth proportional to 725.45, 1,001.12 and 426.65 is: 588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.45 : 1,001.12 = 426.65 : x
  2. Step 2: Convert to fraction form
    725.45/1,001.12 = 426.65/x
  3. Step 3: Cross multiply
    725.45x = 1,001.12 × 426.65
  4. Step 4: Simplify right side
    725.45x = 427,120.71
  5. Step 5: Solve for x
    x = 427,120.71/725.45
  6. Step 6: Final answer
    x = 588.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.