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Finding the Fourth Proportional to 445.09, 671.03 and 413.77

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Solution

The fourth proportional to 445.09, 671.03 and 413.77 is: 623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.09 : 671.03 = 413.77 : x
  2. Step 2: Convert to fraction form
    445.09/671.03 = 413.77/x
  3. Step 3: Cross multiply
    445.09x = 671.03 × 413.77
  4. Step 4: Simplify right side
    445.09x = 277,652.08
  5. Step 5: Solve for x
    x = 277,652.08/445.09
  6. Step 6: Final answer
    x = 623.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.