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Finding the Fourth Proportional to 443.53, 668.61 and 413.79

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Solution

The fourth proportional to 443.53, 668.61 and 413.79 is: 623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.53 : 668.61 = 413.79 : x
  2. Step 2: Convert to fraction form
    443.53/668.61 = 413.79/x
  3. Step 3: Cross multiply
    443.53x = 668.61 × 413.79
  4. Step 4: Simplify right side
    443.53x = 276,664.13
  5. Step 5: Solve for x
    x = 276,664.13/443.53
  6. Step 6: Final answer
    x = 623.78

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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.