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Finding the Fourth Proportional to 667.98, 993.49 and 654.14

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Solution

The fourth proportional to 667.98, 993.49 and 654.14 is: 972.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.98 : 993.49 = 654.14 : x
  2. Step 2: Convert to fraction form
    667.98/993.49 = 654.14/x
  3. Step 3: Cross multiply
    667.98x = 993.49 × 654.14
  4. Step 4: Simplify right side
    667.98x = 649,882.40
  5. Step 5: Solve for x
    x = 649,882.40/667.98
  6. Step 6: Final answer
    x = 972.91

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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.