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Finding the Fourth Proportional to 662.20, 913.23 and 413.54

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Solution

The fourth proportional to 662.20, 913.23 and 413.54 is: 570.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 913.23 = 413.54 : x
  2. Step 2: Convert to fraction form
    662.20/913.23 = 413.54/x
  3. Step 3: Cross multiply
    662.20x = 913.23 × 413.54
  4. Step 4: Simplify right side
    662.20x = 377,652.57
  5. Step 5: Solve for x
    x = 377,652.57/662.20
  6. Step 6: Final answer
    x = 570.30

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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.