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Finding the Fourth Proportional to 521.25, 713.65 and 516.23

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Solution

The fourth proportional to 521.25, 713.65 and 516.23 is: 706.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.25 : 713.65 = 516.23 : x
  2. Step 2: Convert to fraction form
    521.25/713.65 = 516.23/x
  3. Step 3: Cross multiply
    521.25x = 713.65 × 516.23
  4. Step 4: Simplify right side
    521.25x = 368,407.54
  5. Step 5: Solve for x
    x = 368,407.54/521.25
  6. Step 6: Final answer
    x = 706.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.