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Finding the Fourth Proportional to 806.27, 1,111.92 and 682.19

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Solution

The fourth proportional to 806.27, 1,111.92 and 682.19 is: 940.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.27 : 1,111.92 = 682.19 : x
  2. Step 2: Convert to fraction form
    806.27/1,111.92 = 682.19/x
  3. Step 3: Cross multiply
    806.27x = 1,111.92 × 682.19
  4. Step 4: Simplify right side
    806.27x = 758,540.70
  5. Step 5: Solve for x
    x = 758,540.70/806.27
  6. Step 6: Final answer
    x = 940.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.