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Finding the Fourth Proportional to 414.85, 618.74 and 363.82

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Solution

The fourth proportional to 414.85, 618.74 and 363.82 is: 542.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 618.74 = 363.82 : x
  2. Step 2: Convert to fraction form
    414.85/618.74 = 363.82/x
  3. Step 3: Cross multiply
    414.85x = 618.74 × 363.82
  4. Step 4: Simplify right side
    414.85x = 225,109.99
  5. Step 5: Solve for x
    x = 225,109.99/414.85
  6. Step 6: Final answer
    x = 542.63

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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.