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Finding the Fourth Proportional to 799.86, 1,103.81 and 445.80

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Solution

The fourth proportional to 799.86, 1,103.81 and 445.80 is: 615.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.86 : 1,103.81 = 445.80 : x
  2. Step 2: Convert to fraction form
    799.86/1,103.81 = 445.80/x
  3. Step 3: Cross multiply
    799.86x = 1,103.81 × 445.80
  4. Step 4: Simplify right side
    799.86x = 492,076.27
  5. Step 5: Solve for x
    x = 492,076.27/799.86
  6. Step 6: Final answer
    x = 615.20

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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.