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Finding the Fourth Proportional to 414.14, 617.70 and 406.85

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Solution

The fourth proportional to 414.14, 617.70 and 406.85 is: 606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.14 : 617.70 = 406.85 : x
  2. Step 2: Convert to fraction form
    414.14/617.70 = 406.85/x
  3. Step 3: Cross multiply
    414.14x = 617.70 × 406.85
  4. Step 4: Simplify right side
    414.14x = 251,309.21
  5. Step 5: Solve for x
    x = 251,309.21/414.14
  6. Step 6: Final answer
    x = 606.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.