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Finding the Fourth Proportional to 632.78, 948.74 and 324.43

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Solution

The fourth proportional to 632.78, 948.74 and 324.43 is: 486.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.78 : 948.74 = 324.43 : x
  2. Step 2: Convert to fraction form
    632.78/948.74 = 324.43/x
  3. Step 3: Cross multiply
    632.78x = 948.74 × 324.43
  4. Step 4: Simplify right side
    632.78x = 307,799.72
  5. Step 5: Solve for x
    x = 307,799.72/632.78
  6. Step 6: Final answer
    x = 486.42

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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.