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Finding the Fourth Proportional to 708.61, 978 and 413.82

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Solution

The fourth proportional to 708.61, 978 and 413.82 is: 571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.61 : 978 = 413.82 : x
  2. Step 2: Convert to fraction form
    708.61/978 = 413.82/x
  3. Step 3: Cross multiply
    708.61x = 978 × 413.82
  4. Step 4: Simplify right side
    708.61x = 404,715.96
  5. Step 5: Solve for x
    x = 404,715.96/708.61
  6. Step 6: Final answer
    x = 571.14

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