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Finding the Fourth Proportional to 939.42, 1,409.26 and 323.20

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Solution

The fourth proportional to 939.42, 1,409.26 and 323.20 is: 484.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.42 : 1,409.26 = 323.20 : x
  2. Step 2: Convert to fraction form
    939.42/1,409.26 = 323.20/x
  3. Step 3: Cross multiply
    939.42x = 1,409.26 × 323.20
  4. Step 4: Simplify right side
    939.42x = 455,472.83
  5. Step 5: Solve for x
    x = 455,472.83/939.42
  6. Step 6: Final answer
    x = 484.84

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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.