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Finding the Fourth Proportional to 516.80, 713.76 and 414.56

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Solution

The fourth proportional to 516.80, 713.76 and 414.56 is: 572.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.80 : 713.76 = 414.56 : x
  2. Step 2: Convert to fraction form
    516.80/713.76 = 414.56/x
  3. Step 3: Cross multiply
    516.80x = 713.76 × 414.56
  4. Step 4: Simplify right side
    516.80x = 295,896.35
  5. Step 5: Solve for x
    x = 295,896.35/516.80
  6. Step 6: Final answer
    x = 572.55

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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.