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Finding the Fourth Proportional to 633.25, 949.29 and 325.48

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Solution

The fourth proportional to 633.25, 949.29 and 325.48 is: 487.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.25 : 949.29 = 325.48 : x
  2. Step 2: Convert to fraction form
    633.25/949.29 = 325.48/x
  3. Step 3: Cross multiply
    633.25x = 949.29 × 325.48
  4. Step 4: Simplify right side
    633.25x = 308,974.91
  5. Step 5: Solve for x
    x = 308,974.91/633.25
  6. Step 6: Final answer
    x = 487.92

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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.