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Finding the Fourth Proportional to 806.18, 1,211.13 and 773.39

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Solution

The fourth proportional to 806.18, 1,211.13 and 773.39 is: 1,161.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.18 : 1,211.13 = 773.39 : x
  2. Step 2: Convert to fraction form
    806.18/1,211.13 = 773.39/x
  3. Step 3: Cross multiply
    806.18x = 1,211.13 × 773.39
  4. Step 4: Simplify right side
    806.18x = 936,675.83
  5. Step 5: Solve for x
    x = 936,675.83/806.18
  6. Step 6: Final answer
    x = 1,161.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.