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Finding the Fourth Proportional to 632.78, 872.97 and 367.17

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Solution

The fourth proportional to 632.78, 872.97 and 367.17 is: 506.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.78 : 872.97 = 367.17 : x
  2. Step 2: Convert to fraction form
    632.78/872.97 = 367.17/x
  3. Step 3: Cross multiply
    632.78x = 872.97 × 367.17
  4. Step 4: Simplify right side
    632.78x = 320,528.39
  5. Step 5: Solve for x
    x = 320,528.39/632.78
  6. Step 6: Final answer
    x = 506.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.