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Finding the Fourth Proportional to 64.80, 96.77 and 54.65

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Solution

The fourth proportional to 64.80, 96.77 and 54.65 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 96.77 = 54.65 : x
  2. Step 2: Convert to fraction form
    64.80/96.77 = 54.65/x
  3. Step 3: Cross multiply
    64.80x = 96.77 × 54.65
  4. Step 4: Simplify right side
    64.80x = 5,288.86
  5. Step 5: Solve for x
    x = 5,288.86/64.80
  6. Step 6: Final answer
    x = 81.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.