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Finding the Fourth Proportional to 778.68, 1,074.87 and 613.44

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Solution

The fourth proportional to 778.68, 1,074.87 and 613.44 is: 846.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.68 : 1,074.87 = 613.44 : x
  2. Step 2: Convert to fraction form
    778.68/1,074.87 = 613.44/x
  3. Step 3: Cross multiply
    778.68x = 1,074.87 × 613.44
  4. Step 4: Simplify right side
    778.68x = 659,368.25
  5. Step 5: Solve for x
    x = 659,368.25/778.68
  6. Step 6: Final answer
    x = 846.78

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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.