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Finding the Fourth Proportional to 822.44, 1,228.24 and 731.72

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Solution

The fourth proportional to 822.44, 1,228.24 and 731.72 is: 1,092.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.44 : 1,228.24 = 731.72 : x
  2. Step 2: Convert to fraction form
    822.44/1,228.24 = 731.72/x
  3. Step 3: Cross multiply
    822.44x = 1,228.24 × 731.72
  4. Step 4: Simplify right side
    822.44x = 898,729.01
  5. Step 5: Solve for x
    x = 898,729.01/822.44
  6. Step 6: Final answer
    x = 1,092.76

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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.