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Finding the Fourth Proportional to 708.43, 977.70 and 413.79

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Solution

The fourth proportional to 708.43, 977.70 and 413.79 is: 571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.43 : 977.70 = 413.79 : x
  2. Step 2: Convert to fraction form
    708.43/977.70 = 413.79/x
  3. Step 3: Cross multiply
    708.43x = 977.70 × 413.79
  4. Step 4: Simplify right side
    708.43x = 404,560.41
  5. Step 5: Solve for x
    x = 404,560.41/708.43
  6. Step 6: Final answer
    x = 571.07

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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.