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Finding the Fourth Proportional to 708.63, 978.06 and 413.97

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Solution

The fourth proportional to 708.63, 978.06 and 413.97 is: 571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.63 : 978.06 = 413.97 : x
  2. Step 2: Convert to fraction form
    708.63/978.06 = 413.97/x
  3. Step 3: Cross multiply
    708.63x = 978.06 × 413.97
  4. Step 4: Simplify right side
    708.63x = 404,887.50
  5. Step 5: Solve for x
    x = 404,887.50/708.63
  6. Step 6: Final answer
    x = 571.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.