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Finding the Fourth Proportional to 414.89, 624.80 and 361.43

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Solution

The fourth proportional to 414.89, 624.80 and 361.43 is: 544.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.89 : 624.80 = 361.43 : x
  2. Step 2: Convert to fraction form
    414.89/624.80 = 361.43/x
  3. Step 3: Cross multiply
    414.89x = 624.80 × 361.43
  4. Step 4: Simplify right side
    414.89x = 225,821.59
  5. Step 5: Solve for x
    x = 225,821.59/414.89
  6. Step 6: Final answer
    x = 544.29

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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.