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Finding the Fourth Proportional to 57.95, 80.00 and 39.62

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Solution

The fourth proportional to 57.95, 80.00 and 39.62 is: 54.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.95 : 80.00 = 39.62 : x
  2. Step 2: Convert to fraction form
    57.95/80.00 = 39.62/x
  3. Step 3: Cross multiply
    57.95x = 80.00 × 39.62
  4. Step 4: Simplify right side
    57.95x = 3,169.60
  5. Step 5: Solve for x
    x = 3,169.60/57.95
  6. Step 6: Final answer
    x = 54.69

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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.