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Finding the Fourth Proportional to 64.85, 96.75 and 61.43

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Solution

The fourth proportional to 64.85, 96.75 and 61.43 is: 91.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.85 : 96.75 = 61.43 : x
  2. Step 2: Convert to fraction form
    64.85/96.75 = 61.43/x
  3. Step 3: Cross multiply
    64.85x = 96.75 × 61.43
  4. Step 4: Simplify right side
    64.85x = 5,942.87
  5. Step 5: Solve for x
    x = 5,942.87/64.85
  6. Step 6: Final answer
    x = 91.65

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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.