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Finding the Fourth Proportional to 634.07, 949.73 and 308.75

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Solution

The fourth proportional to 634.07, 949.73 and 308.75 is: 462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.07 : 949.73 = 308.75 : x
  2. Step 2: Convert to fraction form
    634.07/949.73 = 308.75/x
  3. Step 3: Cross multiply
    634.07x = 949.73 × 308.75
  4. Step 4: Simplify right side
    634.07x = 293,229.14
  5. Step 5: Solve for x
    x = 293,229.14/634.07
  6. Step 6: Final answer
    x = 462.46

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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.