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Finding the Fourth Proportional to 780.96, 1,078.14 and 516.15

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Solution

The fourth proportional to 780.96, 1,078.14 and 516.15 is: 712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.96 : 1,078.14 = 516.15 : x
  2. Step 2: Convert to fraction form
    780.96/1,078.14 = 516.15/x
  3. Step 3: Cross multiply
    780.96x = 1,078.14 × 516.15
  4. Step 4: Simplify right side
    780.96x = 556,481.96
  5. Step 5: Solve for x
    x = 556,481.96/780.96
  6. Step 6: Final answer
    x = 712.56

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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.