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Finding the Fourth Proportional to 689.38, 953.14 and 658.78

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Solution

The fourth proportional to 689.38, 953.14 and 658.78 is: 910.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.38 : 953.14 = 658.78 : x
  2. Step 2: Convert to fraction form
    689.38/953.14 = 658.78/x
  3. Step 3: Cross multiply
    689.38x = 953.14 × 658.78
  4. Step 4: Simplify right side
    689.38x = 627,909.57
  5. Step 5: Solve for x
    x = 627,909.57/689.38
  6. Step 6: Final answer
    x = 910.83

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Double scale
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1.5x scale

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.