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Finding the Fourth Proportional to 1,077.36, 1,616.28 and 615.64

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Solution

The fourth proportional to 1,077.36, 1,616.28 and 615.64 is: 923.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.36 : 1,616.28 = 615.64 : x
  2. Step 2: Convert to fraction form
    1,077.36/1,616.28 = 615.64/x
  3. Step 3: Cross multiply
    1,077.36x = 1,616.28 × 615.64
  4. Step 4: Simplify right side
    1,077.36x = 995,046.62
  5. Step 5: Solve for x
    x = 995,046.62/1,077.36
  6. Step 6: Final answer
    x = 923.60

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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.