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Finding the Fourth Proportional to 1,078.90, 1,617.25 and 615.73

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Solution

The fourth proportional to 1,078.90, 1,617.25 and 615.73 is: 922.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.90 : 1,617.25 = 615.73 : x
  2. Step 2: Convert to fraction form
    1,078.90/1,617.25 = 615.73/x
  3. Step 3: Cross multiply
    1,078.90x = 1,617.25 × 615.73
  4. Step 4: Simplify right side
    1,078.90x = 995,789.34
  5. Step 5: Solve for x
    x = 995,789.34/1,078.90
  6. Step 6: Final answer
    x = 922.97

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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.