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Finding the Fourth Proportional to 59.67, 82.17 and 57.65

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Solution

The fourth proportional to 59.67, 82.17 and 57.65 is: 79.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.67 : 82.17 = 57.65 : x
  2. Step 2: Convert to fraction form
    59.67/82.17 = 57.65/x
  3. Step 3: Cross multiply
    59.67x = 82.17 × 57.65
  4. Step 4: Simplify right side
    59.67x = 4,736.69
  5. Step 5: Solve for x
    x = 4,736.69/59.67
  6. Step 6: Final answer
    x = 79.38

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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.