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Finding the Fourth Proportional to 67.79, 92.83 and 64.09

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Solution

The fourth proportional to 67.79, 92.83 and 64.09 is: 87.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.79 : 92.83 = 64.09 : x
  2. Step 2: Convert to fraction form
    67.79/92.83 = 64.09/x
  3. Step 3: Cross multiply
    67.79x = 92.83 × 64.09
  4. Step 4: Simplify right side
    67.79x = 5,949.47
  5. Step 5: Solve for x
    x = 5,949.47/67.79
  6. Step 6: Final answer
    x = 87.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.