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Finding the Fourth Proportional to 799.52, 1,198.58 and 409.27

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Solution

The fourth proportional to 799.52, 1,198.58 and 409.27 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.52 : 1,198.58 = 409.27 : x
  2. Step 2: Convert to fraction form
    799.52/1,198.58 = 409.27/x
  3. Step 3: Cross multiply
    799.52x = 1,198.58 × 409.27
  4. Step 4: Simplify right side
    799.52x = 490,536.84
  5. Step 5: Solve for x
    x = 490,536.84/799.52
  6. Step 6: Final answer
    x = 613.54

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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.