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Finding the Fourth Proportional to 65.96, 98.43 and 57.96

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Solution

The fourth proportional to 65.96, 98.43 and 57.96 is: 86.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.96 : 98.43 = 57.96 : x
  2. Step 2: Convert to fraction form
    65.96/98.43 = 57.96/x
  3. Step 3: Cross multiply
    65.96x = 98.43 × 57.96
  4. Step 4: Simplify right side
    65.96x = 5,705.39
  5. Step 5: Solve for x
    x = 5,705.39/65.96
  6. Step 6: Final answer
    x = 86.49

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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.