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Finding the Fourth Proportional to 781.76, 1,078.45 and 516.67

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Solution

The fourth proportional to 781.76, 1,078.45 and 516.67 is: 712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.76 : 1,078.45 = 516.67 : x
  2. Step 2: Convert to fraction form
    781.76/1,078.45 = 516.67/x
  3. Step 3: Cross multiply
    781.76x = 1,078.45 × 516.67
  4. Step 4: Simplify right side
    781.76x = 557,198.77
  5. Step 5: Solve for x
    x = 557,198.77/781.76
  6. Step 6: Final answer
    x = 712.75

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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.