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Finding the Fourth Proportional to 799.60, 1,198.78 and 366.64

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Solution

The fourth proportional to 799.60, 1,198.78 and 366.64 is: 549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.60 : 1,198.78 = 366.64 : x
  2. Step 2: Convert to fraction form
    799.60/1,198.78 = 366.64/x
  3. Step 3: Cross multiply
    799.60x = 1,198.78 × 366.64
  4. Step 4: Simplify right side
    799.60x = 439,520.70
  5. Step 5: Solve for x
    x = 439,520.70/799.60
  6. Step 6: Final answer
    x = 549.68

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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.