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Finding the Fourth Proportional to 939.91, 1,409.60 and 281.76

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Solution

The fourth proportional to 939.91, 1,409.60 and 281.76 is: 422.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.91 : 1,409.60 = 281.76 : x
  2. Step 2: Convert to fraction form
    939.91/1,409.60 = 281.76/x
  3. Step 3: Cross multiply
    939.91x = 1,409.60 × 281.76
  4. Step 4: Simplify right side
    939.91x = 397,167.49
  5. Step 5: Solve for x
    x = 397,167.49/939.91
  6. Step 6: Final answer
    x = 422.56

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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.