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Finding the Fourth Proportional to 413.11, 620.19 and 411.49

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Solution

The fourth proportional to 413.11, 620.19 and 411.49 is: 617.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    413.11 : 620.19 = 411.49 : x
  2. Step 2: Convert to fraction form
    413.11/620.19 = 411.49/x
  3. Step 3: Cross multiply
    413.11x = 620.19 × 411.49
  4. Step 4: Simplify right side
    413.11x = 255,201.98
  5. Step 5: Solve for x
    x = 255,201.98/413.11
  6. Step 6: Final answer
    x = 617.76

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Double scale
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1.5x scale

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.