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Finding the Fourth Proportional to 634.11, 949.96 and 428.32

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Solution

The fourth proportional to 634.11, 949.96 and 428.32 is: 641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.11 : 949.96 = 428.32 : x
  2. Step 2: Convert to fraction form
    634.11/949.96 = 428.32/x
  3. Step 3: Cross multiply
    634.11x = 949.96 × 428.32
  4. Step 4: Simplify right side
    634.11x = 406,888.59
  5. Step 5: Solve for x
    x = 406,888.59/634.11
  6. Step 6: Final answer
    x = 641.67

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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.