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Finding the Fourth Proportional to 871.40, 1,299.82 and 789.32

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Solution

The fourth proportional to 871.40, 1,299.82 and 789.32 is: 1,177.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.40 : 1,299.82 = 789.32 : x
  2. Step 2: Convert to fraction form
    871.40/1,299.82 = 789.32/x
  3. Step 3: Cross multiply
    871.40x = 1,299.82 × 789.32
  4. Step 4: Simplify right side
    871.40x = 1,025,973.92
  5. Step 5: Solve for x
    x = 1,025,973.92/871.40
  6. Step 6: Final answer
    x = 1,177.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.