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Finding the Fourth Proportional to 585.79, 878.78 and 239.11

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Solution

The fourth proportional to 585.79, 878.78 and 239.11 is: 358.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.79 : 878.78 = 239.11 : x
  2. Step 2: Convert to fraction form
    585.79/878.78 = 239.11/x
  3. Step 3: Cross multiply
    585.79x = 878.78 × 239.11
  4. Step 4: Simplify right side
    585.79x = 210,123.49
  5. Step 5: Solve for x
    x = 210,123.49/585.79
  6. Step 6: Final answer
    x = 358.70

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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.