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Finding the Fourth Proportional to 720.28, 1,080.86 and 674.73

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Solution

The fourth proportional to 720.28, 1,080.86 and 674.73 is: 1,012.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.28 : 1,080.86 = 674.73 : x
  2. Step 2: Convert to fraction form
    720.28/1,080.86 = 674.73/x
  3. Step 3: Cross multiply
    720.28x = 1,080.86 × 674.73
  4. Step 4: Simplify right side
    720.28x = 729,288.67
  5. Step 5: Solve for x
    x = 729,288.67/720.28
  6. Step 6: Final answer
    x = 1,012.51

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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.