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Finding the Fourth Proportional to 516.72, 775.26 and 273.42

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Solution

The fourth proportional to 516.72, 775.26 and 273.42 is: 410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.72 : 775.26 = 273.42 : x
  2. Step 2: Convert to fraction form
    516.72/775.26 = 273.42/x
  3. Step 3: Cross multiply
    516.72x = 775.26 × 273.42
  4. Step 4: Simplify right side
    516.72x = 211,971.59
  5. Step 5: Solve for x
    x = 211,971.59/516.72
  6. Step 6: Final answer
    x = 410.23

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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.