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Finding the Fourth Proportional to 516.03, 772.65 and 310.31

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Solution

The fourth proportional to 516.03, 772.65 and 310.31 is: 464.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.03 : 772.65 = 310.31 : x
  2. Step 2: Convert to fraction form
    516.03/772.65 = 310.31/x
  3. Step 3: Cross multiply
    516.03x = 772.65 × 310.31
  4. Step 4: Simplify right side
    516.03x = 239,761.02
  5. Step 5: Solve for x
    x = 239,761.02/516.03
  6. Step 6: Final answer
    x = 464.63

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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.