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Finding the Fourth Proportional to 725.26, 1,089.74 and 683.25

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Solution

The fourth proportional to 725.26, 1,089.74 and 683.25 is: 1,026.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.26 : 1,089.74 = 683.25 : x
  2. Step 2: Convert to fraction form
    725.26/1,089.74 = 683.25/x
  3. Step 3: Cross multiply
    725.26x = 1,089.74 × 683.25
  4. Step 4: Simplify right side
    725.26x = 744,563.05
  5. Step 5: Solve for x
    x = 744,563.05/725.26
  6. Step 6: Final answer
    x = 1,026.62

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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.