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Finding the Fourth Proportional to 1,044.28, 1,560.74 and 825.58

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Solution

The fourth proportional to 1,044.28, 1,560.74 and 825.58 is: 1,233.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.28 : 1,560.74 = 825.58 : x
  2. Step 2: Convert to fraction form
    1,044.28/1,560.74 = 825.58/x
  3. Step 3: Cross multiply
    1,044.28x = 1,560.74 × 825.58
  4. Step 4: Simplify right side
    1,044.28x = 1,288,515.73
  5. Step 5: Solve for x
    x = 1,288,515.73/1,044.28
  6. Step 6: Final answer
    x = 1,233.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.