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Finding the Fourth Proportional to 632.67, 949.47 and 324.78

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Solution

The fourth proportional to 632.67, 949.47 and 324.78 is: 487.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.67 : 949.47 = 324.78 : x
  2. Step 2: Convert to fraction form
    632.67/949.47 = 324.78/x
  3. Step 3: Cross multiply
    632.67x = 949.47 × 324.78
  4. Step 4: Simplify right side
    632.67x = 308,368.87
  5. Step 5: Solve for x
    x = 308,368.87/632.67
  6. Step 6: Final answer
    x = 487.41

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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.