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Finding the Fourth Proportional to 516.68, 775.09 and 169.94

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Solution

The fourth proportional to 516.68, 775.09 and 169.94 is: 254.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 775.09 = 169.94 : x
  2. Step 2: Convert to fraction form
    516.68/775.09 = 169.94/x
  3. Step 3: Cross multiply
    516.68x = 775.09 × 169.94
  4. Step 4: Simplify right side
    516.68x = 131,718.79
  5. Step 5: Solve for x
    x = 131,718.79/516.68
  6. Step 6: Final answer
    x = 254.93

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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.