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Finding the Fourth Proportional to 635.11, 876.19 and 386.23

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Solution

The fourth proportional to 635.11, 876.19 and 386.23 is: 532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.11 : 876.19 = 386.23 : x
  2. Step 2: Convert to fraction form
    635.11/876.19 = 386.23/x
  3. Step 3: Cross multiply
    635.11x = 876.19 × 386.23
  4. Step 4: Simplify right side
    635.11x = 338,405.52
  5. Step 5: Solve for x
    x = 338,405.52/635.11
  6. Step 6: Final answer
    x = 532.83

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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.