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Finding the Fourth Proportional to 516.90, 774.09 and 331.80

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Solution

The fourth proportional to 516.90, 774.09 and 331.80 is: 496.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 774.09 = 331.80 : x
  2. Step 2: Convert to fraction form
    516.90/774.09 = 331.80/x
  3. Step 3: Cross multiply
    516.90x = 774.09 × 331.80
  4. Step 4: Simplify right side
    516.90x = 256,843.06
  5. Step 5: Solve for x
    x = 256,843.06/516.90
  6. Step 6: Final answer
    x = 496.89

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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.