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Finding the Fourth Proportional to 54.87, 81.83 and 46.79

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Solution

The fourth proportional to 54.87, 81.83 and 46.79 is: 69.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 81.83 = 46.79 : x
  2. Step 2: Convert to fraction form
    54.87/81.83 = 46.79/x
  3. Step 3: Cross multiply
    54.87x = 81.83 × 46.79
  4. Step 4: Simplify right side
    54.87x = 3,828.80
  5. Step 5: Solve for x
    x = 3,828.80/54.87
  6. Step 6: Final answer
    x = 69.78

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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.