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Finding the Fourth Proportional to 939.72, 1,409.78 and 323.27

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Solution

The fourth proportional to 939.72, 1,409.78 and 323.27 is: 484.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.72 : 1,409.78 = 323.27 : x
  2. Step 2: Convert to fraction form
    939.72/1,409.78 = 323.27/x
  3. Step 3: Cross multiply
    939.72x = 1,409.78 × 323.27
  4. Step 4: Simplify right side
    939.72x = 455,730.92
  5. Step 5: Solve for x
    x = 455,730.92/939.72
  6. Step 6: Final answer
    x = 484.96

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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.