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Finding the Fourth Proportional to 636.53, 878.15 and 387.75

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Solution

The fourth proportional to 636.53, 878.15 and 387.75 is: 534.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    636.53 : 878.15 = 387.75 : x
  2. Step 2: Convert to fraction form
    636.53/878.15 = 387.75/x
  3. Step 3: Cross multiply
    636.53x = 878.15 × 387.75
  4. Step 4: Simplify right side
    636.53x = 340,506.92
  5. Step 5: Solve for x
    x = 340,506.92/636.53
  6. Step 6: Final answer
    x = 534.95

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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.