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Finding the Fourth Proportional to 414.68, 617.84 and 408.74

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Solution

The fourth proportional to 414.68, 617.84 and 408.74 is: 608.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 617.84 = 408.74 : x
  2. Step 2: Convert to fraction form
    414.68/617.84 = 408.74/x
  3. Step 3: Cross multiply
    414.68x = 617.84 × 408.74
  4. Step 4: Simplify right side
    414.68x = 252,532.32
  5. Step 5: Solve for x
    x = 252,532.32/414.68
  6. Step 6: Final answer
    x = 608.99

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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.