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Finding the Fourth Proportional to 584.86, 878.34 and 311.49

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Solution

The fourth proportional to 584.86, 878.34 and 311.49 is: 467.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.86 : 878.34 = 311.49 : x
  2. Step 2: Convert to fraction form
    584.86/878.34 = 311.49/x
  3. Step 3: Cross multiply
    584.86x = 878.34 × 311.49
  4. Step 4: Simplify right side
    584.86x = 273,594.13
  5. Step 5: Solve for x
    x = 273,594.13/584.86
  6. Step 6: Final answer
    x = 467.79

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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.