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Finding the Fourth Proportional to 414.70, 618.93 and 382.14

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Solution

The fourth proportional to 414.70, 618.93 and 382.14 is: 570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.70 : 618.93 = 382.14 : x
  2. Step 2: Convert to fraction form
    414.70/618.93 = 382.14/x
  3. Step 3: Cross multiply
    414.70x = 618.93 × 382.14
  4. Step 4: Simplify right side
    414.70x = 236,517.91
  5. Step 5: Solve for x
    x = 236,517.91/414.70
  6. Step 6: Final answer
    x = 570.33

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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.