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Finding the Fourth Proportional to 778.68, 1,067.51 and 758.03

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Solution

The fourth proportional to 778.68, 1,067.51 and 758.03 is: 1,039.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,067.51 = 758.03 : x
  2. Step 2: Convert to fraction form
    778.68/1,067.51 = 758.03/x
  3. Step 3: Cross multiply
    778.68x = 1,067.51 × 758.03
  4. Step 4: Simplify right side
    778.68x = 809,201.16
  5. Step 5: Solve for x
    x = 809,201.16/778.68
  6. Step 6: Final answer
    x = 1,039.20

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.