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Finding the Fourth Proportional to 799.65, 1,103.49 and 445.56

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Solution

The fourth proportional to 799.65, 1,103.49 and 445.56 is: 614.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.65 : 1,103.49 = 445.56 : x
  2. Step 2: Convert to fraction form
    799.65/1,103.49 = 445.56/x
  3. Step 3: Cross multiply
    799.65x = 1,103.49 × 445.56
  4. Step 4: Simplify right side
    799.65x = 491,671.00
  5. Step 5: Solve for x
    x = 491,671.00/799.65
  6. Step 6: Final answer
    x = 614.86

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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.