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Finding the Fourth Proportional to 958.96, 1,439.20 and 548.28

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Solution

The fourth proportional to 958.96, 1,439.20 and 548.28 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.96 : 1,439.20 = 548.28 : x
  2. Step 2: Convert to fraction form
    958.96/1,439.20 = 548.28/x
  3. Step 3: Cross multiply
    958.96x = 1,439.20 × 548.28
  4. Step 4: Simplify right side
    958.96x = 789,084.58
  5. Step 5: Solve for x
    x = 789,084.58/958.96
  6. Step 6: Final answer
    x = 822.85

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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.