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Finding the Fourth Proportional to 658.13, 981.20 and 649.92

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Solution

The fourth proportional to 658.13, 981.20 and 649.92 is: 968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.13 : 981.20 = 649.92 : x
  2. Step 2: Convert to fraction form
    658.13/981.20 = 649.92/x
  3. Step 3: Cross multiply
    658.13x = 981.20 × 649.92
  4. Step 4: Simplify right side
    658.13x = 637,701.50
  5. Step 5: Solve for x
    x = 637,701.50/658.13
  6. Step 6: Final answer
    x = 968.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.