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Finding the Fourth Proportional to 516.91, 713.28 and 295.78

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Solution

The fourth proportional to 516.91, 713.28 and 295.78 is: 408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 713.28 = 295.78 : x
  2. Step 2: Convert to fraction form
    516.91/713.28 = 295.78/x
  3. Step 3: Cross multiply
    516.91x = 713.28 × 295.78
  4. Step 4: Simplify right side
    516.91x = 210,972.18
  5. Step 5: Solve for x
    x = 210,972.18/516.91
  6. Step 6: Final answer
    x = 408.14

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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.