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Finding the Fourth Proportional to 689.97, 952.11 and 391.25

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Solution

The fourth proportional to 689.97, 952.11 and 391.25 is: 539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.97 : 952.11 = 391.25 : x
  2. Step 2: Convert to fraction form
    689.97/952.11 = 391.25/x
  3. Step 3: Cross multiply
    689.97x = 952.11 × 391.25
  4. Step 4: Simplify right side
    689.97x = 372,508.28
  5. Step 5: Solve for x
    x = 372,508.28/689.97
  6. Step 6: Final answer
    x = 539.89

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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.