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Finding the Fourth Proportional to 645.78, 967.92 and 320.40

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Solution

The fourth proportional to 645.78, 967.92 and 320.40 is: 480.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.78 : 967.92 = 320.40 : x
  2. Step 2: Convert to fraction form
    645.78/967.92 = 320.40/x
  3. Step 3: Cross multiply
    645.78x = 967.92 × 320.40
  4. Step 4: Simplify right side
    645.78x = 310,121.57
  5. Step 5: Solve for x
    x = 310,121.57/645.78
  6. Step 6: Final answer
    x = 480.23

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