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Finding the Fourth Proportional to 658.71, 908.68 and 611.80

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Solution

The fourth proportional to 658.71, 908.68 and 611.80 is: 843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.71 : 908.68 = 611.80 : x
  2. Step 2: Convert to fraction form
    658.71/908.68 = 611.80/x
  3. Step 3: Cross multiply
    658.71x = 908.68 × 611.80
  4. Step 4: Simplify right side
    658.71x = 555,930.42
  5. Step 5: Solve for x
    x = 555,930.42/658.71
  6. Step 6: Final answer
    x = 843.97

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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.