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Finding the Fourth Proportional to 1,078.65, 1,616.87 and 615.48

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Solution

The fourth proportional to 1,078.65, 1,616.87 and 615.48 is: 922.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.65 : 1,616.87 = 615.48 : x
  2. Step 2: Convert to fraction form
    1,078.65/1,616.87 = 615.48/x
  3. Step 3: Cross multiply
    1,078.65x = 1,616.87 × 615.48
  4. Step 4: Simplify right side
    1,078.65x = 995,151.15
  5. Step 5: Solve for x
    x = 995,151.15/1,078.65
  6. Step 6: Final answer
    x = 922.59

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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.