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Finding the Fourth Proportional to 825.52, 1,236.66 and 532.60

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Solution

The fourth proportional to 825.52, 1,236.66 and 532.60 is: 797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.52 : 1,236.66 = 532.60 : x
  2. Step 2: Convert to fraction form
    825.52/1,236.66 = 532.60/x
  3. Step 3: Cross multiply
    825.52x = 1,236.66 × 532.60
  4. Step 4: Simplify right side
    825.52x = 658,645.12
  5. Step 5: Solve for x
    x = 658,645.12/825.52
  6. Step 6: Final answer
    x = 797.85

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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.