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Finding the Fourth Proportional to 57.82, 79.75 and 54.40

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Solution

The fourth proportional to 57.82, 79.75 and 54.40 is: 75.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.82 : 79.75 = 54.40 : x
  2. Step 2: Convert to fraction form
    57.82/79.75 = 54.40/x
  3. Step 3: Cross multiply
    57.82x = 79.75 × 54.40
  4. Step 4: Simplify right side
    57.82x = 4,338.40
  5. Step 5: Solve for x
    x = 4,338.40/57.82
  6. Step 6: Final answer
    x = 75.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.