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Finding the Fourth Proportional to 798.87, 1,198.26 and 278.90

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Solution

The fourth proportional to 798.87, 1,198.26 and 278.90 is: 418.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,198.26 = 278.90 : x
  2. Step 2: Convert to fraction form
    798.87/1,198.26 = 278.90/x
  3. Step 3: Cross multiply
    798.87x = 1,198.26 × 278.90
  4. Step 4: Simplify right side
    798.87x = 334,188.72
  5. Step 5: Solve for x
    x = 334,188.72/798.87
  6. Step 6: Final answer
    x = 418.33

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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.