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Finding the Fourth Proportional to 634.22, 949.50 and 428.08

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Solution

The fourth proportional to 634.22, 949.50 and 428.08 is: 640.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.22 : 949.50 = 428.08 : x
  2. Step 2: Convert to fraction form
    634.22/949.50 = 428.08/x
  3. Step 3: Cross multiply
    634.22x = 949.50 × 428.08
  4. Step 4: Simplify right side
    634.22x = 406,461.96
  5. Step 5: Solve for x
    x = 406,461.96/634.22
  6. Step 6: Final answer
    x = 640.88

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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.