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Finding the Fourth Proportional to 634.09, 949.51 and 439.69

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Solution

The fourth proportional to 634.09, 949.51 and 439.69 is: 658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.09 : 949.51 = 439.69 : x
  2. Step 2: Convert to fraction form
    634.09/949.51 = 439.69/x
  3. Step 3: Cross multiply
    634.09x = 949.51 × 439.69
  4. Step 4: Simplify right side
    634.09x = 417,490.05
  5. Step 5: Solve for x
    x = 417,490.05/634.09
  6. Step 6: Final answer
    x = 658.41

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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.