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Finding the Fourth Proportional to 799.59, 1,103.42 and 445.50

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Solution

The fourth proportional to 799.59, 1,103.42 and 445.50 is: 614.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.59 : 1,103.42 = 445.50 : x
  2. Step 2: Convert to fraction form
    799.59/1,103.42 = 445.50/x
  3. Step 3: Cross multiply
    799.59x = 1,103.42 × 445.50
  4. Step 4: Simplify right side
    799.59x = 491,571.38
  5. Step 5: Solve for x
    x = 491,571.38/799.59
  6. Step 6: Final answer
    x = 614.78

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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.