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Finding the Fourth Proportional to 1,144.92, 1,579.41 and 724.57

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Solution

The fourth proportional to 1,144.92, 1,579.41 and 724.57 is: 999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.92 : 1,579.41 = 724.57 : x
  2. Step 2: Convert to fraction form
    1,144.92/1,579.41 = 724.57/x
  3. Step 3: Cross multiply
    1,144.92x = 1,579.41 × 724.57
  4. Step 4: Simplify right side
    1,144.92x = 1,144,389.16
  5. Step 5: Solve for x
    x = 1,144,389.16/1,144.92
  6. Step 6: Final answer
    x = 999.54

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1.5x scale

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.