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Finding the Fourth Proportional to 657.91, 986.87 and 170.96

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Solution

The fourth proportional to 657.91, 986.87 and 170.96 is: 256.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.91 : 986.87 = 170.96 : x
  2. Step 2: Convert to fraction form
    657.91/986.87 = 170.96/x
  3. Step 3: Cross multiply
    657.91x = 986.87 × 170.96
  4. Step 4: Simplify right side
    657.91x = 168,713.21
  5. Step 5: Solve for x
    x = 168,713.21/657.91
  6. Step 6: Final answer
    x = 256.44

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.