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Finding the Fourth Proportional to 708.63, 978.08 and 413.95

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Solution

The fourth proportional to 708.63, 978.08 and 413.95 is: 571.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.63 : 978.08 = 413.95 : x
  2. Step 2: Convert to fraction form
    708.63/978.08 = 413.95/x
  3. Step 3: Cross multiply
    708.63x = 978.08 × 413.95
  4. Step 4: Simplify right side
    708.63x = 404,876.22
  5. Step 5: Solve for x
    x = 404,876.22/708.63
  6. Step 6: Final answer
    x = 571.35

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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.