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Finding the Fourth Proportional to 892.91, 1,232.82 and 556.94

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Solution

The fourth proportional to 892.91, 1,232.82 and 556.94 is: 768.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.91 : 1,232.82 = 556.94 : x
  2. Step 2: Convert to fraction form
    892.91/1,232.82 = 556.94/x
  3. Step 3: Cross multiply
    892.91x = 1,232.82 × 556.94
  4. Step 4: Simplify right side
    892.91x = 686,609.85
  5. Step 5: Solve for x
    x = 686,609.85/892.91
  6. Step 6: Final answer
    x = 768.96

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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.