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Finding the Fourth Proportional to 2,279.63, 3,418.07 and 798.03

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Solution

The fourth proportional to 2,279.63, 3,418.07 and 798.03 is: 1,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,279.63 : 3,418.07 = 798.03 : x
  2. Step 2: Convert to fraction form
    2,279.63/3,418.07 = 798.03/x
  3. Step 3: Cross multiply
    2,279.63x = 3,418.07 × 798.03
  4. Step 4: Simplify right side
    2,279.63x = 2,727,718.41
  5. Step 5: Solve for x
    x = 2,727,718.41/2,279.63
  6. Step 6: Final answer
    x = 1,196.56

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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.