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Finding the Fourth Proportional to 825.20, 1,231.04 and 800.31

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Solution

The fourth proportional to 825.20, 1,231.04 and 800.31 is: 1,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.20 : 1,231.04 = 800.31 : x
  2. Step 2: Convert to fraction form
    825.20/1,231.04 = 800.31/x
  3. Step 3: Cross multiply
    825.20x = 1,231.04 × 800.31
  4. Step 4: Simplify right side
    825.20x = 985,209.62
  5. Step 5: Solve for x
    x = 985,209.62/825.20
  6. Step 6: Final answer
    x = 1,193.91

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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.