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Finding the Fourth Proportional to 799.87, 1,200.21 and 415.12

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Solution

The fourth proportional to 799.87, 1,200.21 and 415.12 is: 622.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.87 : 1,200.21 = 415.12 : x
  2. Step 2: Convert to fraction form
    799.87/1,200.21 = 415.12/x
  3. Step 3: Cross multiply
    799.87x = 1,200.21 × 415.12
  4. Step 4: Simplify right side
    799.87x = 498,231.18
  5. Step 5: Solve for x
    x = 498,231.18/799.87
  6. Step 6: Final answer
    x = 622.89

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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.