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Finding the Fourth Proportional to 939.74, 1,409.58 and 323.86

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Solution

The fourth proportional to 939.74, 1,409.58 and 323.86 is: 485.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.74 : 1,409.58 = 323.86 : x
  2. Step 2: Convert to fraction form
    939.74/1,409.58 = 323.86/x
  3. Step 3: Cross multiply
    939.74x = 1,409.58 × 323.86
  4. Step 4: Simplify right side
    939.74x = 456,506.58
  5. Step 5: Solve for x
    x = 456,506.58/939.74
  6. Step 6: Final answer
    x = 485.78

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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.