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Finding the Fourth Proportional to 814.57, 1,218.51 and 677.80

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Solution

The fourth proportional to 814.57, 1,218.51 and 677.80 is: 1,013.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.57 : 1,218.51 = 677.80 : x
  2. Step 2: Convert to fraction form
    814.57/1,218.51 = 677.80/x
  3. Step 3: Cross multiply
    814.57x = 1,218.51 × 677.80
  4. Step 4: Simplify right side
    814.57x = 825,906.08
  5. Step 5: Solve for x
    x = 825,906.08/814.57
  6. Step 6: Final answer
    x = 1,013.92

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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.