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Finding the Fourth Proportional to 584.28, 878.02 and 581.09

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Solution

The fourth proportional to 584.28, 878.02 and 581.09 is: 873.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.28 : 878.02 = 581.09 : x
  2. Step 2: Convert to fraction form
    584.28/878.02 = 581.09/x
  3. Step 3: Cross multiply
    584.28x = 878.02 × 581.09
  4. Step 4: Simplify right side
    584.28x = 510,202.80
  5. Step 5: Solve for x
    x = 510,202.80/584.28
  6. Step 6: Final answer
    x = 873.22

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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.