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Finding the Fourth Proportional to 413.26, 570.30 and 324.85

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Solution

The fourth proportional to 413.26, 570.30 and 324.85 is: 448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.26 : 570.30 = 324.85 : x
  2. Step 2: Convert to fraction form
    413.26/570.30 = 324.85/x
  3. Step 3: Cross multiply
    413.26x = 570.30 × 324.85
  4. Step 4: Simplify right side
    413.26x = 185,261.96
  5. Step 5: Solve for x
    x = 185,261.96/413.26
  6. Step 6: Final answer
    x = 448.29

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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.