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Finding the Fourth Proportional to 634.90, 949.87 and 418.90

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Solution

The fourth proportional to 634.90, 949.87 and 418.90 is: 626.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.90 : 949.87 = 418.90 : x
  2. Step 2: Convert to fraction form
    634.90/949.87 = 418.90/x
  3. Step 3: Cross multiply
    634.90x = 949.87 × 418.90
  4. Step 4: Simplify right side
    634.90x = 397,900.54
  5. Step 5: Solve for x
    x = 397,900.54/634.90
  6. Step 6: Final answer
    x = 626.71

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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.