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Finding the Fourth Proportional to 516.97, 775.41 and 311.59

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Solution

The fourth proportional to 516.97, 775.41 and 311.59 is: 467.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.97 : 775.41 = 311.59 : x
  2. Step 2: Convert to fraction form
    516.97/775.41 = 311.59/x
  3. Step 3: Cross multiply
    516.97x = 775.41 × 311.59
  4. Step 4: Simplify right side
    516.97x = 241,610.00
  5. Step 5: Solve for x
    x = 241,610.00/516.97
  6. Step 6: Final answer
    x = 467.36

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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.