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Finding the Fourth Proportional to 799.93, 1,199.39 and 331.25

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Solution

The fourth proportional to 799.93, 1,199.39 and 331.25 is: 496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.93 : 1,199.39 = 331.25 : x
  2. Step 2: Convert to fraction form
    799.93/1,199.39 = 331.25/x
  3. Step 3: Cross multiply
    799.93x = 1,199.39 × 331.25
  4. Step 4: Simplify right side
    799.93x = 397,301.76
  5. Step 5: Solve for x
    x = 397,301.76/799.93
  6. Step 6: Final answer
    x = 496.67

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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.