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Finding the Fourth Proportional to 580.89, 871.53 and 196.14

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Solution

The fourth proportional to 580.89, 871.53 and 196.14 is: 294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.89 : 871.53 = 196.14 : x
  2. Step 2: Convert to fraction form
    580.89/871.53 = 196.14/x
  3. Step 3: Cross multiply
    580.89x = 871.53 × 196.14
  4. Step 4: Simplify right side
    580.89x = 170,941.89
  5. Step 5: Solve for x
    x = 170,941.89/580.89
  6. Step 6: Final answer
    x = 294.28

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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.