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Finding the Fourth Proportional to 805.06, 1,201.81 and 769.60

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Solution

The fourth proportional to 805.06, 1,201.81 and 769.60 is: 1,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.06 : 1,201.81 = 769.60 : x
  2. Step 2: Convert to fraction form
    805.06/1,201.81 = 769.60/x
  3. Step 3: Cross multiply
    805.06x = 1,201.81 × 769.60
  4. Step 4: Simplify right side
    805.06x = 924,906.97
  5. Step 5: Solve for x
    x = 924,906.97/805.06
  6. Step 6: Final answer
    x = 1,148.87

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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.