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Finding the Fourth Proportional to 725.18, 1,000.71 and 410.43

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Solution

The fourth proportional to 725.18, 1,000.71 and 410.43 is: 566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.18 : 1,000.71 = 410.43 : x
  2. Step 2: Convert to fraction form
    725.18/1,000.71 = 410.43/x
  3. Step 3: Cross multiply
    725.18x = 1,000.71 × 410.43
  4. Step 4: Simplify right side
    725.18x = 410,721.41
  5. Step 5: Solve for x
    x = 410,721.41/725.18
  6. Step 6: Final answer
    x = 566.37

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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.