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Finding the Fourth Proportional to 960.69, 1,439.92 and 550.02

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Solution

The fourth proportional to 960.69, 1,439.92 and 550.02 is: 824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.69 : 1,439.92 = 550.02 : x
  2. Step 2: Convert to fraction form
    960.69/1,439.92 = 550.02/x
  3. Step 3: Cross multiply
    960.69x = 1,439.92 × 550.02
  4. Step 4: Simplify right side
    960.69x = 791,982.05
  5. Step 5: Solve for x
    x = 791,982.05/960.69
  6. Step 6: Final answer
    x = 824.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.