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Finding the Fourth Proportional to 634.97, 876.12 and 369.43

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Solution

The fourth proportional to 634.97, 876.12 and 369.43 is: 509.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.97 : 876.12 = 369.43 : x
  2. Step 2: Convert to fraction form
    634.97/876.12 = 369.43/x
  3. Step 3: Cross multiply
    634.97x = 876.12 × 369.43
  4. Step 4: Simplify right side
    634.97x = 323,661.44
  5. Step 5: Solve for x
    x = 323,661.44/634.97
  6. Step 6: Final answer
    x = 509.73

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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.