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Finding the Fourth Proportional to 608.65, 912.78 and 169.79

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Solution

The fourth proportional to 608.65, 912.78 and 169.79 is: 254.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.65 : 912.78 = 169.79 : x
  2. Step 2: Convert to fraction form
    608.65/912.78 = 169.79/x
  3. Step 3: Cross multiply
    608.65x = 912.78 × 169.79
  4. Step 4: Simplify right side
    608.65x = 154,976.35
  5. Step 5: Solve for x
    x = 154,976.35/608.65
  6. Step 6: Final answer
    x = 254.62

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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.