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Finding the Fourth Proportional to 927.59, 1,391.40 and 311.31

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Solution

The fourth proportional to 927.59, 1,391.40 and 311.31 is: 466.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.59 : 1,391.40 = 311.31 : x
  2. Step 2: Convert to fraction form
    927.59/1,391.40 = 311.31/x
  3. Step 3: Cross multiply
    927.59x = 1,391.40 × 311.31
  4. Step 4: Simplify right side
    927.59x = 433,156.73
  5. Step 5: Solve for x
    x = 433,156.73/927.59
  6. Step 6: Final answer
    x = 466.97

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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.