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Finding the Fourth Proportional to 708.70, 978 and 414.16

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Solution

The fourth proportional to 708.70, 978 and 414.16 is: 571.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.70 : 978 = 414.16 : x
  2. Step 2: Convert to fraction form
    708.70/978 = 414.16/x
  3. Step 3: Cross multiply
    708.70x = 978 × 414.16
  4. Step 4: Simplify right side
    708.70x = 405,048.48
  5. Step 5: Solve for x
    x = 405,048.48/708.70
  6. Step 6: Final answer
    x = 571.54

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