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Finding the Fourth Proportional to 825.90, 1,230.81 and 800.87

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Solution

The fourth proportional to 825.90, 1,230.81 and 800.87 is: 1,193.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.90 : 1,230.81 = 800.87 : x
  2. Step 2: Convert to fraction form
    825.90/1,230.81 = 800.87/x
  3. Step 3: Cross multiply
    825.90x = 1,230.81 × 800.87
  4. Step 4: Simplify right side
    825.90x = 985,717.70
  5. Step 5: Solve for x
    x = 985,717.70/825.90
  6. Step 6: Final answer
    x = 1,193.51

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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.