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Finding the Fourth Proportional to 799.14, 1,102.83 and 449.94

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Solution

The fourth proportional to 799.14, 1,102.83 and 449.94 is: 620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.14 : 1,102.83 = 449.94 : x
  2. Step 2: Convert to fraction form
    799.14/1,102.83 = 449.94/x
  3. Step 3: Cross multiply
    799.14x = 1,102.83 × 449.94
  4. Step 4: Simplify right side
    799.14x = 496,207.33
  5. Step 5: Solve for x
    x = 496,207.33/799.14
  6. Step 6: Final answer
    x = 620.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.