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Finding the Fourth Proportional to 413.34, 574.37 and 408.84

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Solution

The fourth proportional to 413.34, 574.37 and 408.84 is: 568.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.34 : 574.37 = 408.84 : x
  2. Step 2: Convert to fraction form
    413.34/574.37 = 408.84/x
  3. Step 3: Cross multiply
    413.34x = 574.37 × 408.84
  4. Step 4: Simplify right side
    413.34x = 234,823.39
  5. Step 5: Solve for x
    x = 234,823.39/413.34
  6. Step 6: Final answer
    x = 568.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.