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Finding the Fourth Proportional to 939.49, 1,412.27 and 871.85

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Solution

The fourth proportional to 939.49, 1,412.27 and 871.85 is: 1,310.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.49 : 1,412.27 = 871.85 : x
  2. Step 2: Convert to fraction form
    939.49/1,412.27 = 871.85/x
  3. Step 3: Cross multiply
    939.49x = 1,412.27 × 871.85
  4. Step 4: Simplify right side
    939.49x = 1,231,287.60
  5. Step 5: Solve for x
    x = 1,231,287.60/939.49
  6. Step 6: Final answer
    x = 1,310.59

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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.