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Finding the Fourth Proportional to 667.52, 993.52 and 662.24

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Solution

The fourth proportional to 667.52, 993.52 and 662.24 is: 985.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.52 : 993.52 = 662.24 : x
  2. Step 2: Convert to fraction form
    667.52/993.52 = 662.24/x
  3. Step 3: Cross multiply
    667.52x = 993.52 × 662.24
  4. Step 4: Simplify right side
    667.52x = 657,948.68
  5. Step 5: Solve for x
    x = 657,948.68/667.52
  6. Step 6: Final answer
    x = 985.66

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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.