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Finding the Fourth Proportional to 516.76, 774.92 and 273.22

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Solution

The fourth proportional to 516.76, 774.92 and 273.22 is: 409.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.76 : 774.92 = 273.22 : x
  2. Step 2: Convert to fraction form
    516.76/774.92 = 273.22/x
  3. Step 3: Cross multiply
    516.76x = 774.92 × 273.22
  4. Step 4: Simplify right side
    516.76x = 211,723.64
  5. Step 5: Solve for x
    x = 211,723.64/516.76
  6. Step 6: Final answer
    x = 409.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.