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Finding the Fourth Proportional to 896.42, 1,343.40 and 789.50

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Solution

The fourth proportional to 896.42, 1,343.40 and 789.50 is: 1,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.42 : 1,343.40 = 789.50 : x
  2. Step 2: Convert to fraction form
    896.42/1,343.40 = 789.50/x
  3. Step 3: Cross multiply
    896.42x = 1,343.40 × 789.50
  4. Step 4: Simplify right side
    896.42x = 1,060,614.30
  5. Step 5: Solve for x
    x = 1,060,614.30/896.42
  6. Step 6: Final answer
    x = 1,183.17

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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.