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Finding the Fourth Proportional to 443.38, 668.39 and 413.64

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Solution

The fourth proportional to 443.38, 668.39 and 413.64 is: 623.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.38 : 668.39 = 413.64 : x
  2. Step 2: Convert to fraction form
    443.38/668.39 = 413.64/x
  3. Step 3: Cross multiply
    443.38x = 668.39 × 413.64
  4. Step 4: Simplify right side
    443.38x = 276,473.28
  5. Step 5: Solve for x
    x = 276,473.28/443.38
  6. Step 6: Final answer
    x = 623.56

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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.