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Finding the Fourth Proportional to 799.21, 1,198.99 and 452.71

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Solution

The fourth proportional to 799.21, 1,198.99 and 452.71 is: 679.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.21 : 1,198.99 = 452.71 : x
  2. Step 2: Convert to fraction form
    799.21/1,198.99 = 452.71/x
  3. Step 3: Cross multiply
    799.21x = 1,198.99 × 452.71
  4. Step 4: Simplify right side
    799.21x = 542,792.50
  5. Step 5: Solve for x
    x = 542,792.50/799.21
  6. Step 6: Final answer
    x = 679.16

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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.