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Finding the Fourth Proportional to 701.57, 1,052.17 and 426.71

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Solution

The fourth proportional to 701.57, 1,052.17 and 426.71 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.57 : 1,052.17 = 426.71 : x
  2. Step 2: Convert to fraction form
    701.57/1,052.17 = 426.71/x
  3. Step 3: Cross multiply
    701.57x = 1,052.17 × 426.71
  4. Step 4: Simplify right side
    701.57x = 448,971.46
  5. Step 5: Solve for x
    x = 448,971.46/701.57
  6. Step 6: Final answer
    x = 639.95

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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.