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Finding the Fourth Proportional to 584.36, 878.98 and 579.48

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Solution

The fourth proportional to 584.36, 878.98 and 579.48 is: 871.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.36 : 878.98 = 579.48 : x
  2. Step 2: Convert to fraction form
    584.36/878.98 = 579.48/x
  3. Step 3: Cross multiply
    584.36x = 878.98 × 579.48
  4. Step 4: Simplify right side
    584.36x = 509,351.33
  5. Step 5: Solve for x
    x = 509,351.33/584.36
  6. Step 6: Final answer
    x = 871.64

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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.