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Finding the Fourth Proportional to 871.42, 1,306.86 and 432.22

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Solution

The fourth proportional to 871.42, 1,306.86 and 432.22 is: 648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.42 : 1,306.86 = 432.22 : x
  2. Step 2: Convert to fraction form
    871.42/1,306.86 = 432.22/x
  3. Step 3: Cross multiply
    871.42x = 1,306.86 × 432.22
  4. Step 4: Simplify right side
    871.42x = 564,851.03
  5. Step 5: Solve for x
    x = 564,851.03/871.42
  6. Step 6: Final answer
    x = 648.20

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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.