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Finding the Fourth Proportional to 799.08, 1,198.68 and 312.14

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Solution

The fourth proportional to 799.08, 1,198.68 and 312.14 is: 468.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.08 : 1,198.68 = 312.14 : x
  2. Step 2: Convert to fraction form
    799.08/1,198.68 = 312.14/x
  3. Step 3: Cross multiply
    799.08x = 1,198.68 × 312.14
  4. Step 4: Simplify right side
    799.08x = 374,155.98
  5. Step 5: Solve for x
    x = 374,155.98/799.08
  6. Step 6: Final answer
    x = 468.23

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