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Finding the Fourth Proportional to 633.15, 949.76 and 324.81

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Solution

The fourth proportional to 633.15, 949.76 and 324.81 is: 487.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.15 : 949.76 = 324.81 : x
  2. Step 2: Convert to fraction form
    633.15/949.76 = 324.81/x
  3. Step 3: Cross multiply
    633.15x = 949.76 × 324.81
  4. Step 4: Simplify right side
    633.15x = 308,491.55
  5. Step 5: Solve for x
    x = 308,491.55/633.15
  6. Step 6: Final answer
    x = 487.23

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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.