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Finding the Fourth Proportional to 423.82, 634.82 and 359.12

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Solution

The fourth proportional to 423.82, 634.82 and 359.12 is: 537.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.82 : 634.82 = 359.12 : x
  2. Step 2: Convert to fraction form
    423.82/634.82 = 359.12/x
  3. Step 3: Cross multiply
    423.82x = 634.82 × 359.12
  4. Step 4: Simplify right side
    423.82x = 227,976.56
  5. Step 5: Solve for x
    x = 227,976.56/423.82
  6. Step 6: Final answer
    x = 537.91

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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.