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Finding the Fourth Proportional to 634.03, 949.49 and 516.41

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Solution

The fourth proportional to 634.03, 949.49 and 516.41 is: 773.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.03 : 949.49 = 516.41 : x
  2. Step 2: Convert to fraction form
    634.03/949.49 = 516.41/x
  3. Step 3: Cross multiply
    634.03x = 949.49 × 516.41
  4. Step 4: Simplify right side
    634.03x = 490,324.30
  5. Step 5: Solve for x
    x = 490,324.30/634.03
  6. Step 6: Final answer
    x = 773.35

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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.