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Finding the Fourth Proportional to 580.99, 871.63 and 196.27

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Solution

The fourth proportional to 580.99, 871.63 and 196.27 is: 294.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.99 : 871.63 = 196.27 : x
  2. Step 2: Convert to fraction form
    580.99/871.63 = 196.27/x
  3. Step 3: Cross multiply
    580.99x = 871.63 × 196.27
  4. Step 4: Simplify right side
    580.99x = 171,074.82
  5. Step 5: Solve for x
    x = 171,074.82/580.99
  6. Step 6: Final answer
    x = 294.45

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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.