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Finding the Fourth Proportional to 701.71, 1,052.68 and 239.44

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Solution

The fourth proportional to 701.71, 1,052.68 and 239.44 is: 359.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.71 : 1,052.68 = 239.44 : x
  2. Step 2: Convert to fraction form
    701.71/1,052.68 = 239.44/x
  3. Step 3: Cross multiply
    701.71x = 1,052.68 × 239.44
  4. Step 4: Simplify right side
    701.71x = 252,053.70
  5. Step 5: Solve for x
    x = 252,053.70/701.71
  6. Step 6: Final answer
    x = 359.20

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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.