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Finding the Fourth Proportional to 615.97, 850.17 and 406.16

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Solution

The fourth proportional to 615.97, 850.17 and 406.16 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.97 : 850.17 = 406.16 : x
  2. Step 2: Convert to fraction form
    615.97/850.17 = 406.16/x
  3. Step 3: Cross multiply
    615.97x = 850.17 × 406.16
  4. Step 4: Simplify right side
    615.97x = 345,305.05
  5. Step 5: Solve for x
    x = 345,305.05/615.97
  6. Step 6: Final answer
    x = 560.59

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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.