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Finding the Fourth Proportional to 892, 1,231.72 and 560.98

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Solution

The fourth proportional to 892, 1,231.72 and 560.98 is: 774.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,231.72 = 560.98 : x
  2. Step 2: Convert to fraction form
    892/1,231.72 = 560.98/x
  3. Step 3: Cross multiply
    892x = 1,231.72 × 560.98
  4. Step 4: Simplify right side
    892x = 690,970.29
  5. Step 5: Solve for x
    x = 690,970.29/892
  6. Step 6: Final answer
    x = 774.63

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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.