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Finding the Fourth Proportional to 413.26, 618.37 and 382.59

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Solution

The fourth proportional to 413.26, 618.37 and 382.59 is: 572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 618.37 = 382.59 : x
  2. Step 2: Convert to fraction form
    413.26/618.37 = 382.59/x
  3. Step 3: Cross multiply
    413.26x = 618.37 × 382.59
  4. Step 4: Simplify right side
    413.26x = 236,581.22
  5. Step 5: Solve for x
    x = 236,581.22/413.26
  6. Step 6: Final answer
    x = 572.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.