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Finding the Fourth Proportional to 922.28, 1,380.56 and 689.80

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Solution

The fourth proportional to 922.28, 1,380.56 and 689.80 is: 1,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.28 : 1,380.56 = 689.80 : x
  2. Step 2: Convert to fraction form
    922.28/1,380.56 = 689.80/x
  3. Step 3: Cross multiply
    922.28x = 1,380.56 × 689.80
  4. Step 4: Simplify right side
    922.28x = 952,310.29
  5. Step 5: Solve for x
    x = 952,310.29/922.28
  6. Step 6: Final answer
    x = 1,032.56

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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.