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Finding the Fourth Proportional to 892.08, 1,231.92 and 678.96

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Solution

The fourth proportional to 892.08, 1,231.92 and 678.96 is: 937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.08 : 1,231.92 = 678.96 : x
  2. Step 2: Convert to fraction form
    892.08/1,231.92 = 678.96/x
  3. Step 3: Cross multiply
    892.08x = 1,231.92 × 678.96
  4. Step 4: Simplify right side
    892.08x = 836,424.40
  5. Step 5: Solve for x
    x = 836,424.40/892.08
  6. Step 6: Final answer
    x = 937.61

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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.