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Finding the Fourth Proportional to 892.72, 1,232.43 and 822.46

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Solution

The fourth proportional to 892.72, 1,232.43 and 822.46 is: 1,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.72 : 1,232.43 = 822.46 : x
  2. Step 2: Convert to fraction form
    892.72/1,232.43 = 822.46/x
  3. Step 3: Cross multiply
    892.72x = 1,232.43 × 822.46
  4. Step 4: Simplify right side
    892.72x = 1,013,624.38
  5. Step 5: Solve for x
    x = 1,013,624.38/892.72
  6. Step 6: Final answer
    x = 1,135.43

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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.