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Finding the Fourth Proportional to 658.29, 985.75 and 638.82

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Solution

The fourth proportional to 658.29, 985.75 and 638.82 is: 956.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.29 : 985.75 = 638.82 : x
  2. Step 2: Convert to fraction form
    658.29/985.75 = 638.82/x
  3. Step 3: Cross multiply
    658.29x = 985.75 × 638.82
  4. Step 4: Simplify right side
    658.29x = 629,713.62
  5. Step 5: Solve for x
    x = 629,713.62/658.29
  6. Step 6: Final answer
    x = 956.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.