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Finding the Fourth Proportional to 447.77, 671.94 and 413.96

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Solution

The fourth proportional to 447.77, 671.94 and 413.96 is: 621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.77 : 671.94 = 413.96 : x
  2. Step 2: Convert to fraction form
    447.77/671.94 = 413.96/x
  3. Step 3: Cross multiply
    447.77x = 671.94 × 413.96
  4. Step 4: Simplify right side
    447.77x = 278,152.92
  5. Step 5: Solve for x
    x = 278,152.92/447.77
  6. Step 6: Final answer
    x = 621.19

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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.