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Finding the Fourth Proportional to 585.91, 878.93 and 261.23

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Solution

The fourth proportional to 585.91, 878.93 and 261.23 is: 391.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.91 : 878.93 = 261.23 : x
  2. Step 2: Convert to fraction form
    585.91/878.93 = 261.23/x
  3. Step 3: Cross multiply
    585.91x = 878.93 × 261.23
  4. Step 4: Simplify right side
    585.91x = 229,605.73
  5. Step 5: Solve for x
    x = 229,605.73/585.91
  6. Step 6: Final answer
    x = 391.88

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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.