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Finding the Fourth Proportional to 414.68, 624.47 and 361.22

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Solution

The fourth proportional to 414.68, 624.47 and 361.22 is: 543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.68 : 624.47 = 361.22 : x
  2. Step 2: Convert to fraction form
    414.68/624.47 = 361.22/x
  3. Step 3: Cross multiply
    414.68x = 624.47 × 361.22
  4. Step 4: Simplify right side
    414.68x = 225,571.05
  5. Step 5: Solve for x
    x = 225,571.05/414.68
  6. Step 6: Final answer
    x = 543.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.