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Finding the Fourth Proportional to 927.73, 1,391.72 and 311.23

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Solution

The fourth proportional to 927.73, 1,391.72 and 311.23 is: 466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.73 : 1,391.72 = 311.23 : x
  2. Step 2: Convert to fraction form
    927.73/1,391.72 = 311.23/x
  3. Step 3: Cross multiply
    927.73x = 1,391.72 × 311.23
  4. Step 4: Simplify right side
    927.73x = 433,145.02
  5. Step 5: Solve for x
    x = 433,145.02/927.73
  6. Step 6: Final answer
    x = 466.89

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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.