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Finding the Fourth Proportional to 635.38, 876.79 and 369.78

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Solution

The fourth proportional to 635.38, 876.79 and 369.78 is: 510.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.38 : 876.79 = 369.78 : x
  2. Step 2: Convert to fraction form
    635.38/876.79 = 369.78/x
  3. Step 3: Cross multiply
    635.38x = 876.79 × 369.78
  4. Step 4: Simplify right side
    635.38x = 324,219.41
  5. Step 5: Solve for x
    x = 324,219.41/635.38
  6. Step 6: Final answer
    x = 510.28

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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.