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Finding the Fourth Proportional to 653.27, 978.48 and 409.32

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Solution

The fourth proportional to 653.27, 978.48 and 409.32 is: 613.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.27 : 978.48 = 409.32 : x
  2. Step 2: Convert to fraction form
    653.27/978.48 = 409.32/x
  3. Step 3: Cross multiply
    653.27x = 978.48 × 409.32
  4. Step 4: Simplify right side
    653.27x = 400,511.43
  5. Step 5: Solve for x
    x = 400,511.43/653.27
  6. Step 6: Final answer
    x = 613.09

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