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Finding the Fourth Proportional to 516.91, 775.43 and 273.45

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Solution

The fourth proportional to 516.91, 775.43 and 273.45 is: 410.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 775.43 = 273.45 : x
  2. Step 2: Convert to fraction form
    516.91/775.43 = 273.45/x
  3. Step 3: Cross multiply
    516.91x = 775.43 × 273.45
  4. Step 4: Simplify right side
    516.91x = 212,041.33
  5. Step 5: Solve for x
    x = 212,041.33/516.91
  6. Step 6: Final answer
    x = 410.21

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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.