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Finding the Fourth Proportional to 413.71, 571.41 and 329.97

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Solution

The fourth proportional to 413.71, 571.41 and 329.97 is: 455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.71 : 571.41 = 329.97 : x
  2. Step 2: Convert to fraction form
    413.71/571.41 = 329.97/x
  3. Step 3: Cross multiply
    413.71x = 571.41 × 329.97
  4. Step 4: Simplify right side
    413.71x = 188,543.65
  5. Step 5: Solve for x
    x = 188,543.65/413.71
  6. Step 6: Final answer
    x = 455.74

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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.