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Finding the Fourth Proportional to 892.24, 1,228.68 and 767.74

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Solution

The fourth proportional to 892.24, 1,228.68 and 767.74 is: 1,057.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.24 : 1,228.68 = 767.74 : x
  2. Step 2: Convert to fraction form
    892.24/1,228.68 = 767.74/x
  3. Step 3: Cross multiply
    892.24x = 1,228.68 × 767.74
  4. Step 4: Simplify right side
    892.24x = 943,306.78
  5. Step 5: Solve for x
    x = 943,306.78/892.24
  6. Step 6: Final answer
    x = 1,057.23

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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.