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Finding the Fourth Proportional to 808.27, 1,217.39 and 769.39

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Solution

The fourth proportional to 808.27, 1,217.39 and 769.39 is: 1,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.27 : 1,217.39 = 769.39 : x
  2. Step 2: Convert to fraction form
    808.27/1,217.39 = 769.39/x
  3. Step 3: Cross multiply
    808.27x = 1,217.39 × 769.39
  4. Step 4: Simplify right side
    808.27x = 936,647.69
  5. Step 5: Solve for x
    x = 936,647.69/808.27
  6. Step 6: Final answer
    x = 1,158.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.