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Finding the Fourth Proportional to 1,394.28, 2,092.24 and 663.92

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Solution

The fourth proportional to 1,394.28, 2,092.24 and 663.92 is: 996.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.28 : 2,092.24 = 663.92 : x
  2. Step 2: Convert to fraction form
    1,394.28/2,092.24 = 663.92/x
  3. Step 3: Cross multiply
    1,394.28x = 2,092.24 × 663.92
  4. Step 4: Simplify right side
    1,394.28x = 1,389,079.98
  5. Step 5: Solve for x
    x = 1,389,079.98/1,394.28
  6. Step 6: Final answer
    x = 996.27

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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.