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Finding the Fourth Proportional to 701, 1,052.70 and 664.52

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Solution

The fourth proportional to 701, 1,052.70 and 664.52 is: 997.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    701 : 1,052.70 = 664.52 : x
  2. Step 2: Convert to fraction form
    701/1,052.70 = 664.52/x
  3. Step 3: Cross multiply
    701x = 1,052.70 × 664.52
  4. Step 4: Simplify right side
    701x = 699,540.20
  5. Step 5: Solve for x
    x = 699,540.20/701
  6. Step 6: Final answer
    x = 997.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.