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Finding the Fourth Proportional to 871.24, 1,306.72 and 323.28

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Solution

The fourth proportional to 871.24, 1,306.72 and 323.28 is: 484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.24 : 1,306.72 = 323.28 : x
  2. Step 2: Convert to fraction form
    871.24/1,306.72 = 323.28/x
  3. Step 3: Cross multiply
    871.24x = 1,306.72 × 323.28
  4. Step 4: Simplify right side
    871.24x = 422,436.44
  5. Step 5: Solve for x
    x = 422,436.44/871.24
  6. Step 6: Final answer
    x = 484.87

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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.