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Finding the Fourth Proportional to 801.22, 1,193.62 and 771.84

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Solution

The fourth proportional to 801.22, 1,193.62 and 771.84 is: 1,149.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.22 : 1,193.62 = 771.84 : x
  2. Step 2: Convert to fraction form
    801.22/1,193.62 = 771.84/x
  3. Step 3: Cross multiply
    801.22x = 1,193.62 × 771.84
  4. Step 4: Simplify right side
    801.22x = 921,283.66
  5. Step 5: Solve for x
    x = 921,283.66/801.22
  6. Step 6: Final answer
    x = 1,149.85

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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.