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Finding the Fourth Proportional to 1,078.43, 1,487.88 and 636.44

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Solution

The fourth proportional to 1,078.43, 1,487.88 and 636.44 is: 878.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.43 : 1,487.88 = 636.44 : x
  2. Step 2: Convert to fraction form
    1,078.43/1,487.88 = 636.44/x
  3. Step 3: Cross multiply
    1,078.43x = 1,487.88 × 636.44
  4. Step 4: Simplify right side
    1,078.43x = 946,938.91
  5. Step 5: Solve for x
    x = 946,938.91/1,078.43
  6. Step 6: Final answer
    x = 878.08

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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.