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Finding the Fourth Proportional to 2,879.73, 4,319.43 and 799.75

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Solution

The fourth proportional to 2,879.73, 4,319.43 and 799.75 is: 1,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.73 : 4,319.43 = 799.75 : x
  2. Step 2: Convert to fraction form
    2,879.73/4,319.43 = 799.75/x
  3. Step 3: Cross multiply
    2,879.73x = 4,319.43 × 799.75
  4. Step 4: Simplify right side
    2,879.73x = 3,454,464.14
  5. Step 5: Solve for x
    x = 3,454,464.14/2,879.73
  6. Step 6: Final answer
    x = 1,199.58

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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.