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Finding the Fourth Proportional to 1,150.20, 1,724.09 and 825.39

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Solution

The fourth proportional to 1,150.20, 1,724.09 and 825.39 is: 1,237.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.20 : 1,724.09 = 825.39 : x
  2. Step 2: Convert to fraction form
    1,150.20/1,724.09 = 825.39/x
  3. Step 3: Cross multiply
    1,150.20x = 1,724.09 × 825.39
  4. Step 4: Simplify right side
    1,150.20x = 1,423,042.52
  5. Step 5: Solve for x
    x = 1,423,042.52/1,150.20
  6. Step 6: Final answer
    x = 1,237.21

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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.