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Finding the Fourth Proportional to 636.81, 878.50 and 371.23

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Solution

The fourth proportional to 636.81, 878.50 and 371.23 is: 512.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.81 : 878.50 = 371.23 : x
  2. Step 2: Convert to fraction form
    636.81/878.50 = 371.23/x
  3. Step 3: Cross multiply
    636.81x = 878.50 × 371.23
  4. Step 4: Simplify right side
    636.81x = 326,125.56
  5. Step 5: Solve for x
    x = 326,125.56/636.81
  6. Step 6: Final answer
    x = 512.12

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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.