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Finding the Fourth Proportional to 77.04, 105.84 and 64.62

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Solution

The fourth proportional to 77.04, 105.84 and 64.62 is: 88.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 105.84 = 64.62 : x
  2. Step 2: Convert to fraction form
    77.04/105.84 = 64.62/x
  3. Step 3: Cross multiply
    77.04x = 105.84 × 64.62
  4. Step 4: Simplify right side
    77.04x = 6,839.38
  5. Step 5: Solve for x
    x = 6,839.38/77.04
  6. Step 6: Final answer
    x = 88.78

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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.