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Finding the Fourth Proportional to 634.72, 950.36 and 414.80

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Solution

The fourth proportional to 634.72, 950.36 and 414.80 is: 621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.72 : 950.36 = 414.80 : x
  2. Step 2: Convert to fraction form
    634.72/950.36 = 414.80/x
  3. Step 3: Cross multiply
    634.72x = 950.36 × 414.80
  4. Step 4: Simplify right side
    634.72x = 394,209.33
  5. Step 5: Solve for x
    x = 394,209.33/634.72
  6. Step 6: Final answer
    x = 621.08

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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.