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Finding the Fourth Proportional to 1,129.75, 1,694.96 and 480.54

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Solution

The fourth proportional to 1,129.75, 1,694.96 and 480.54 is: 720.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.75 : 1,694.96 = 480.54 : x
  2. Step 2: Convert to fraction form
    1,129.75/1,694.96 = 480.54/x
  3. Step 3: Cross multiply
    1,129.75x = 1,694.96 × 480.54
  4. Step 4: Simplify right side
    1,129.75x = 814,496.08
  5. Step 5: Solve for x
    x = 814,496.08/1,129.75
  6. Step 6: Final answer
    x = 720.95

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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.