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Finding the Fourth Proportional to 585.71, 878.01 and 220.42

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Solution

The fourth proportional to 585.71, 878.01 and 220.42 is: 330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.71 : 878.01 = 220.42 : x
  2. Step 2: Convert to fraction form
    585.71/878.01 = 220.42/x
  3. Step 3: Cross multiply
    585.71x = 878.01 × 220.42
  4. Step 4: Simplify right side
    585.71x = 193,530.96
  5. Step 5: Solve for x
    x = 193,530.96/585.71
  6. Step 6: Final answer
    x = 330.42

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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.