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Finding the Fourth Proportional to 892, 1,337.16 and 676.52

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Solution

The fourth proportional to 892, 1,337.16 and 676.52 is: 1,014.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    892 : 1,337.16 = 676.52 : x
  2. Step 2: Convert to fraction form
    892/1,337.16 = 676.52/x
  3. Step 3: Cross multiply
    892x = 1,337.16 × 676.52
  4. Step 4: Simplify right side
    892x = 904,615.48
  5. Step 5: Solve for x
    x = 904,615.48/892
  6. Step 6: Final answer
    x = 1,014.14

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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.