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Finding the Fourth Proportional to 516.14, 715.26 and 506.42

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Solution

The fourth proportional to 516.14, 715.26 and 506.42 is: 701.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 715.26 = 506.42 : x
  2. Step 2: Convert to fraction form
    516.14/715.26 = 506.42/x
  3. Step 3: Cross multiply
    516.14x = 715.26 × 506.42
  4. Step 4: Simplify right side
    516.14x = 362,221.97
  5. Step 5: Solve for x
    x = 362,221.97/516.14
  6. Step 6: Final answer
    x = 701.79

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.