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Finding the Fourth Proportional to 57.74, 87.01 and 54.99

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Solution

The fourth proportional to 57.74, 87.01 and 54.99 is: 82.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.74 : 87.01 = 54.99 : x
  2. Step 2: Convert to fraction form
    57.74/87.01 = 54.99/x
  3. Step 3: Cross multiply
    57.74x = 87.01 × 54.99
  4. Step 4: Simplify right side
    57.74x = 4,784.68
  5. Step 5: Solve for x
    x = 4,784.68/57.74
  6. Step 6: Final answer
    x = 82.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.