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Finding the Fourth Proportional to 516.72, 713.08 and 306.91

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Solution

The fourth proportional to 516.72, 713.08 and 306.91 is: 423.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 713.08 = 306.91 : x
  2. Step 2: Convert to fraction form
    516.72/713.08 = 306.91/x
  3. Step 3: Cross multiply
    516.72x = 713.08 × 306.91
  4. Step 4: Simplify right side
    516.72x = 218,851.38
  5. Step 5: Solve for x
    x = 218,851.38/516.72
  6. Step 6: Final answer
    x = 423.54

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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.