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Finding the Fourth Proportional to 725.74, 1,088.57 and 682.94

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Solution

The fourth proportional to 725.74, 1,088.57 and 682.94 is: 1,024.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.74 : 1,088.57 = 682.94 : x
  2. Step 2: Convert to fraction form
    725.74/1,088.57 = 682.94/x
  3. Step 3: Cross multiply
    725.74x = 1,088.57 × 682.94
  4. Step 4: Simplify right side
    725.74x = 743,424.26
  5. Step 5: Solve for x
    x = 743,424.26/725.74
  6. Step 6: Final answer
    x = 1,024.37

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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.