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Finding the Fourth Proportional to 709.44, 1,065.96 and 680.64

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Solution

The fourth proportional to 709.44, 1,065.96 and 680.64 is: 1,022.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.44 : 1,065.96 = 680.64 : x
  2. Step 2: Convert to fraction form
    709.44/1,065.96 = 680.64/x
  3. Step 3: Cross multiply
    709.44x = 1,065.96 × 680.64
  4. Step 4: Simplify right side
    709.44x = 725,535.01
  5. Step 5: Solve for x
    x = 725,535.01/709.44
  6. Step 6: Final answer
    x = 1,022.69

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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.