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Finding the Fourth Proportional to 871.12, 1,306.86 and 383.91

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Solution

The fourth proportional to 871.12, 1,306.86 and 383.91 is: 575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.12 : 1,306.86 = 383.91 : x
  2. Step 2: Convert to fraction form
    871.12/1,306.86 = 383.91/x
  3. Step 3: Cross multiply
    871.12x = 1,306.86 × 383.91
  4. Step 4: Simplify right side
    871.12x = 501,716.62
  5. Step 5: Solve for x
    x = 501,716.62/871.12
  6. Step 6: Final answer
    x = 575.94

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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.