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Finding the Fourth Proportional to 871.43, 1,306.94 and 323.66

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Solution

The fourth proportional to 871.43, 1,306.94 and 323.66 is: 485.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.43 : 1,306.94 = 323.66 : x
  2. Step 2: Convert to fraction form
    871.43/1,306.94 = 323.66/x
  3. Step 3: Cross multiply
    871.43x = 1,306.94 × 323.66
  4. Step 4: Simplify right side
    871.43x = 423,005.85
  5. Step 5: Solve for x
    x = 423,005.85/871.43
  6. Step 6: Final answer
    x = 485.42

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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.