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Finding the Fourth Proportional to 70.92, 97.71 and 57.06

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Solution

The fourth proportional to 70.92, 97.71 and 57.06 is: 78.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.92 : 97.71 = 57.06 : x
  2. Step 2: Convert to fraction form
    70.92/97.71 = 57.06/x
  3. Step 3: Cross multiply
    70.92x = 97.71 × 57.06
  4. Step 4: Simplify right side
    70.92x = 5,575.33
  5. Step 5: Solve for x
    x = 5,575.33/70.92
  6. Step 6: Final answer
    x = 78.61

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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.