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Finding the Fourth Proportional to 578.79, 866.99 and 321.75

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Solution

The fourth proportional to 578.79, 866.99 and 321.75 is: 481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.79 : 866.99 = 321.75 : x
  2. Step 2: Convert to fraction form
    578.79/866.99 = 321.75/x
  3. Step 3: Cross multiply
    578.79x = 866.99 × 321.75
  4. Step 4: Simplify right side
    578.79x = 278,952.42
  5. Step 5: Solve for x
    x = 278,952.42/578.79
  6. Step 6: Final answer
    x = 481.96

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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.