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Finding the Fourth Proportional to 813.10, 1,211.92 and 766.97

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Solution

The fourth proportional to 813.10, 1,211.92 and 766.97 is: 1,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.10 : 1,211.92 = 766.97 : x
  2. Step 2: Convert to fraction form
    813.10/1,211.92 = 766.97/x
  3. Step 3: Cross multiply
    813.10x = 1,211.92 × 766.97
  4. Step 4: Simplify right side
    813.10x = 929,506.28
  5. Step 5: Solve for x
    x = 929,506.28/813.10
  6. Step 6: Final answer
    x = 1,143.16

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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.