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Finding the Fourth Proportional to 1,144.49, 1,578.97 and 724.68

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Solution

The fourth proportional to 1,144.49, 1,578.97 and 724.68 is: 999.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.49 : 1,578.97 = 724.68 : x
  2. Step 2: Convert to fraction form
    1,144.49/1,578.97 = 724.68/x
  3. Step 3: Cross multiply
    1,144.49x = 1,578.97 × 724.68
  4. Step 4: Simplify right side
    1,144.49x = 1,144,247.98
  5. Step 5: Solve for x
    x = 1,144,247.98/1,144.49
  6. Step 6: Final answer
    x = 999.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.