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Finding the Fourth Proportional to 57.91, 79.80 and 52.09

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Solution

The fourth proportional to 57.91, 79.80 and 52.09 is: 71.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.91 : 79.80 = 52.09 : x
  2. Step 2: Convert to fraction form
    57.91/79.80 = 52.09/x
  3. Step 3: Cross multiply
    57.91x = 79.80 × 52.09
  4. Step 4: Simplify right side
    57.91x = 4,156.78
  5. Step 5: Solve for x
    x = 4,156.78/57.91
  6. Step 6: Final answer
    x = 71.78

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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.