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Finding the Fourth Proportional to 516.86, 713.12 and 306.93

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Solution

The fourth proportional to 516.86, 713.12 and 306.93 is: 423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.86 : 713.12 = 306.93 : x
  2. Step 2: Convert to fraction form
    516.86/713.12 = 306.93/x
  3. Step 3: Cross multiply
    516.86x = 713.12 × 306.93
  4. Step 4: Simplify right side
    516.86x = 218,876.39
  5. Step 5: Solve for x
    x = 218,876.39/516.86
  6. Step 6: Final answer
    x = 423.48

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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.