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Finding the Fourth Proportional to 516.19, 772.89 and 310.46

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Solution

The fourth proportional to 516.19, 772.89 and 310.46 is: 464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.19 : 772.89 = 310.46 : x
  2. Step 2: Convert to fraction form
    516.19/772.89 = 310.46/x
  3. Step 3: Cross multiply
    516.19x = 772.89 × 310.46
  4. Step 4: Simplify right side
    516.19x = 239,951.43
  5. Step 5: Solve for x
    x = 239,951.43/516.19
  6. Step 6: Final answer
    x = 464.86

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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.