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Finding the Fourth Proportional to 633.58, 949.79 and 324.75

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Solution

The fourth proportional to 633.58, 949.79 and 324.75 is: 486.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.58 : 949.79 = 324.75 : x
  2. Step 2: Convert to fraction form
    633.58/949.79 = 324.75/x
  3. Step 3: Cross multiply
    633.58x = 949.79 × 324.75
  4. Step 4: Simplify right side
    633.58x = 308,446.85
  5. Step 5: Solve for x
    x = 308,446.85/633.58
  6. Step 6: Final answer
    x = 486.83

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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.