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Finding the Fourth Proportional to 445.97, 669.40 and 413.17

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Solution

The fourth proportional to 445.97, 669.40 and 413.17 is: 620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.97 : 669.40 = 413.17 : x
  2. Step 2: Convert to fraction form
    445.97/669.40 = 413.17/x
  3. Step 3: Cross multiply
    445.97x = 669.40 × 413.17
  4. Step 4: Simplify right side
    445.97x = 276,573.29
  5. Step 5: Solve for x
    x = 276,573.29/445.97
  6. Step 6: Final answer
    x = 620.16

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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.