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Finding the Fourth Proportional to 677.82, 1,016.19 and 312.42

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Solution

The fourth proportional to 677.82, 1,016.19 and 312.42 is: 468.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.82 : 1,016.19 = 312.42 : x
  2. Step 2: Convert to fraction form
    677.82/1,016.19 = 312.42/x
  3. Step 3: Cross multiply
    677.82x = 1,016.19 × 312.42
  4. Step 4: Simplify right side
    677.82x = 317,478.08
  5. Step 5: Solve for x
    x = 317,478.08/677.82
  6. Step 6: Final answer
    x = 468.38

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