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Finding the Fourth Proportional to 57.57, 85.93 and 50.73

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Solution

The fourth proportional to 57.57, 85.93 and 50.73 is: 75.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.57 : 85.93 = 50.73 : x
  2. Step 2: Convert to fraction form
    57.57/85.93 = 50.73/x
  3. Step 3: Cross multiply
    57.57x = 85.93 × 50.73
  4. Step 4: Simplify right side
    57.57x = 4,359.50
  5. Step 5: Solve for x
    x = 4,359.50/57.57
  6. Step 6: Final answer
    x = 75.73

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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.