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Finding the Fourth Proportional to 881.45, 1,216.27 and 749.20

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Solution

The fourth proportional to 881.45, 1,216.27 and 749.20 is: 1,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.45 : 1,216.27 = 749.20 : x
  2. Step 2: Convert to fraction form
    881.45/1,216.27 = 749.20/x
  3. Step 3: Cross multiply
    881.45x = 1,216.27 × 749.20
  4. Step 4: Simplify right side
    881.45x = 911,229.48
  5. Step 5: Solve for x
    x = 911,229.48/881.45
  6. Step 6: Final answer
    x = 1,033.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.