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Finding the Fourth Proportional to 493.44, 677.97 and 419.63

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Solution

The fourth proportional to 493.44, 677.97 and 419.63 is: 576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.44 : 677.97 = 419.63 : x
  2. Step 2: Convert to fraction form
    493.44/677.97 = 419.63/x
  3. Step 3: Cross multiply
    493.44x = 677.97 × 419.63
  4. Step 4: Simplify right side
    493.44x = 284,496.97
  5. Step 5: Solve for x
    x = 284,496.97/493.44
  6. Step 6: Final answer
    x = 576.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.