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Finding the Fourth Proportional to 881, 1,320.12 and 789.20

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Solution

The fourth proportional to 881, 1,320.12 and 789.20 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    881 : 1,320.12 = 789.20 : x
  2. Step 2: Convert to fraction form
    881/1,320.12 = 789.20/x
  3. Step 3: Cross multiply
    881x = 1,320.12 × 789.20
  4. Step 4: Simplify right side
    881x = 1,041,838.70
  5. Step 5: Solve for x
    x = 1,041,838.70/881
  6. Step 6: Final answer
    x = 1,182.56

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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.