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Finding the Fourth Proportional to 413.33, 574.38 and 408.15

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Solution

The fourth proportional to 413.33, 574.38 and 408.15 is: 567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.33 : 574.38 = 408.15 : x
  2. Step 2: Convert to fraction form
    413.33/574.38 = 408.15/x
  3. Step 3: Cross multiply
    413.33x = 574.38 × 408.15
  4. Step 4: Simplify right side
    413.33x = 234,433.20
  5. Step 5: Solve for x
    x = 234,433.20/413.33
  6. Step 6: Final answer
    x = 567.19

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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.