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Finding the Fourth Proportional to 668.66, 996.81 and 658.13

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Solution

The fourth proportional to 668.66, 996.81 and 658.13 is: 981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.66 : 996.81 = 658.13 : x
  2. Step 2: Convert to fraction form
    668.66/996.81 = 658.13/x
  3. Step 3: Cross multiply
    668.66x = 996.81 × 658.13
  4. Step 4: Simplify right side
    668.66x = 656,030.57
  5. Step 5: Solve for x
    x = 656,030.57/668.66
  6. Step 6: Final answer
    x = 981.11

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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.