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Finding the Fourth Proportional to 584.97, 878.54 and 392.73

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Solution

The fourth proportional to 584.97, 878.54 and 392.73 is: 589.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.97 : 878.54 = 392.73 : x
  2. Step 2: Convert to fraction form
    584.97/878.54 = 392.73/x
  3. Step 3: Cross multiply
    584.97x = 878.54 × 392.73
  4. Step 4: Simplify right side
    584.97x = 345,029.01
  5. Step 5: Solve for x
    x = 345,029.01/584.97
  6. Step 6: Final answer
    x = 589.82

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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.