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Finding the Fourth Proportional to 667.43, 993.84 and 660.09

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Solution

The fourth proportional to 667.43, 993.84 and 660.09 is: 982.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.43 : 993.84 = 660.09 : x
  2. Step 2: Convert to fraction form
    667.43/993.84 = 660.09/x
  3. Step 3: Cross multiply
    667.43x = 993.84 × 660.09
  4. Step 4: Simplify right side
    667.43x = 656,023.85
  5. Step 5: Solve for x
    x = 656,023.85/667.43
  6. Step 6: Final answer
    x = 982.91

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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.