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Finding the Fourth Proportional to 781.71, 1,078.38 and 516.42

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Solution

The fourth proportional to 781.71, 1,078.38 and 516.42 is: 712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.71 : 1,078.38 = 516.42 : x
  2. Step 2: Convert to fraction form
    781.71/1,078.38 = 516.42/x
  3. Step 3: Cross multiply
    781.71x = 1,078.38 × 516.42
  4. Step 4: Simplify right side
    781.71x = 556,897.00
  5. Step 5: Solve for x
    x = 556,897.00/781.71
  6. Step 6: Final answer
    x = 712.41

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1.5x scale

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.