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Finding the Fourth Proportional to 652.32, 978 and 408.48

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Solution

The fourth proportional to 652.32, 978 and 408.48 is: 612.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 978 = 408.48 : x
  2. Step 2: Convert to fraction form
    652.32/978 = 408.48/x
  3. Step 3: Cross multiply
    652.32x = 978 × 408.48
  4. Step 4: Simplify right side
    652.32x = 399,493.44
  5. Step 5: Solve for x
    x = 399,493.44/652.32
  6. Step 6: Final answer
    x = 612.42

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