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Finding the Fourth Proportional to 443.07, 667.92 and 413.33

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Solution

The fourth proportional to 443.07, 667.92 and 413.33 is: 623.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 667.92 = 413.33 : x
  2. Step 2: Convert to fraction form
    443.07/667.92 = 413.33/x
  3. Step 3: Cross multiply
    443.07x = 667.92 × 413.33
  4. Step 4: Simplify right side
    443.07x = 276,069.31
  5. Step 5: Solve for x
    x = 276,069.31/443.07
  6. Step 6: Final answer
    x = 623.09

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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.