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Finding the Fourth Proportional to 656.70, 984.97 and 169.79

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Solution

The fourth proportional to 656.70, 984.97 and 169.79 is: 254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.70 : 984.97 = 169.79 : x
  2. Step 2: Convert to fraction form
    656.70/984.97 = 169.79/x
  3. Step 3: Cross multiply
    656.70x = 984.97 × 169.79
  4. Step 4: Simplify right side
    656.70x = 167,232.71
  5. Step 5: Solve for x
    x = 167,232.71/656.70
  6. Step 6: Final answer
    x = 254.66

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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.