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Finding the Fourth Proportional to 708.96, 978.27 and 414

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Solution

The fourth proportional to 708.96, 978.27 and 414 is: 571.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.96 : 978.27 = 414 : x
  2. Step 2: Convert to fraction form
    708.96/978.27 = 414/x
  3. Step 3: Cross multiply
    708.96x = 978.27 × 414
  4. Step 4: Simplify right side
    708.96x = 405,003.78
  5. Step 5: Solve for x
    x = 405,003.78/708.96
  6. Step 6: Final answer
    x = 571.26

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