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Finding the Fourth Proportional to 65.92, 90.84 and 57.64

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Solution

The fourth proportional to 65.92, 90.84 and 57.64 is: 79.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.92 : 90.84 = 57.64 : x
  2. Step 2: Convert to fraction form
    65.92/90.84 = 57.64/x
  3. Step 3: Cross multiply
    65.92x = 90.84 × 57.64
  4. Step 4: Simplify right side
    65.92x = 5,236.02
  5. Step 5: Solve for x
    x = 5,236.02/65.92
  6. Step 6: Final answer
    x = 79.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.