Home / 778.28-1,074.14-516.12

Finding the Fourth Proportional to 778.28, 1,074.14 and 516.12

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Solution

The fourth proportional to 778.28, 1,074.14 and 516.12 is: 712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.28 : 1,074.14 = 516.12 : x
  2. Step 2: Convert to fraction form
    778.28/1,074.14 = 516.12/x
  3. Step 3: Cross multiply
    778.28x = 1,074.14 × 516.12
  4. Step 4: Simplify right side
    778.28x = 554,385.14
  5. Step 5: Solve for x
    x = 554,385.14/778.28
  6. Step 6: Final answer
    x = 712.32

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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.