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Finding the Fourth Proportional to 1,078.28, 1,618.22 and 712.92

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Solution

The fourth proportional to 1,078.28, 1,618.22 and 712.92 is: 1,069.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,078.28 : 1,618.22 = 712.92 : x
  2. Step 2: Convert to fraction form
    1,078.28/1,618.22 = 712.92/x
  3. Step 3: Cross multiply
    1,078.28x = 1,618.22 × 712.92
  4. Step 4: Simplify right side
    1,078.28x = 1,153,661.40
  5. Step 5: Solve for x
    x = 1,153,661.40/1,078.28
  6. Step 6: Final answer
    x = 1,069.91

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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.