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Finding the Fourth Proportional to 892.40, 1,229.97 and 670.97

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Solution

The fourth proportional to 892.40, 1,229.97 and 670.97 is: 924.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.40 : 1,229.97 = 670.97 : x
  2. Step 2: Convert to fraction form
    892.40/1,229.97 = 670.97/x
  3. Step 3: Cross multiply
    892.40x = 1,229.97 × 670.97
  4. Step 4: Simplify right side
    892.40x = 825,266.82
  5. Step 5: Solve for x
    x = 825,266.82/892.40
  6. Step 6: Final answer
    x = 924.78

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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.