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Finding the Fourth Proportional to 939.53, 1,409.07 and 281.27

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Solution

The fourth proportional to 939.53, 1,409.07 and 281.27 is: 421.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.53 : 1,409.07 = 281.27 : x
  2. Step 2: Convert to fraction form
    939.53/1,409.07 = 281.27/x
  3. Step 3: Cross multiply
    939.53x = 1,409.07 × 281.27
  4. Step 4: Simplify right side
    939.53x = 396,322.07
  5. Step 5: Solve for x
    x = 396,322.07/939.53
  6. Step 6: Final answer
    x = 421.83

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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.