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Finding the Fourth Proportional to 799.85, 1,200.03 and 337.83

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Solution

The fourth proportional to 799.85, 1,200.03 and 337.83 is: 506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.85 : 1,200.03 = 337.83 : x
  2. Step 2: Convert to fraction form
    799.85/1,200.03 = 337.83/x
  3. Step 3: Cross multiply
    799.85x = 1,200.03 × 337.83
  4. Step 4: Simplify right side
    799.85x = 405,406.13
  5. Step 5: Solve for x
    x = 405,406.13/799.85
  6. Step 6: Final answer
    x = 506.85

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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.