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Finding the Fourth Proportional to 516.78, 713.22 and 295.77

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Solution

The fourth proportional to 516.78, 713.22 and 295.77 is: 408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 713.22 = 295.77 : x
  2. Step 2: Convert to fraction form
    516.78/713.22 = 295.77/x
  3. Step 3: Cross multiply
    516.78x = 713.22 × 295.77
  4. Step 4: Simplify right side
    516.78x = 210,949.08
  5. Step 5: Solve for x
    x = 210,949.08/516.78
  6. Step 6: Final answer
    x = 408.20

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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.