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Finding the Fourth Proportional to 585.65, 878.34 and 220.43

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Solution

The fourth proportional to 585.65, 878.34 and 220.43 is: 330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.65 : 878.34 = 220.43 : x
  2. Step 2: Convert to fraction form
    585.65/878.34 = 220.43/x
  3. Step 3: Cross multiply
    585.65x = 878.34 × 220.43
  4. Step 4: Simplify right side
    585.65x = 193,608.09
  5. Step 5: Solve for x
    x = 193,608.09/585.65
  6. Step 6: Final answer
    x = 330.59

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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.