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Finding the Fourth Proportional to 883.37, 1,323.43 and 413.97

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Solution

The fourth proportional to 883.37, 1,323.43 and 413.97 is: 620.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.37 : 1,323.43 = 413.97 : x
  2. Step 2: Convert to fraction form
    883.37/1,323.43 = 413.97/x
  3. Step 3: Cross multiply
    883.37x = 1,323.43 × 413.97
  4. Step 4: Simplify right side
    883.37x = 547,865.80
  5. Step 5: Solve for x
    x = 547,865.80/883.37
  6. Step 6: Final answer
    x = 620.20

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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.