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Finding the Fourth Proportional to 609.97, 841.09 and 413.14

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Solution

The fourth proportional to 609.97, 841.09 and 413.14 is: 569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.97 : 841.09 = 413.14 : x
  2. Step 2: Convert to fraction form
    609.97/841.09 = 413.14/x
  3. Step 3: Cross multiply
    609.97x = 841.09 × 413.14
  4. Step 4: Simplify right side
    609.97x = 347,487.92
  5. Step 5: Solve for x
    x = 347,487.92/609.97
  6. Step 6: Final answer
    x = 569.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.