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Finding the Fourth Proportional to 927.52, 1,391.45 and 311.29

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Solution

The fourth proportional to 927.52, 1,391.45 and 311.29 is: 466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.52 : 1,391.45 = 311.29 : x
  2. Step 2: Convert to fraction form
    927.52/1,391.45 = 311.29/x
  3. Step 3: Cross multiply
    927.52x = 1,391.45 × 311.29
  4. Step 4: Simplify right side
    927.52x = 433,144.47
  5. Step 5: Solve for x
    x = 433,144.47/927.52
  6. Step 6: Final answer
    x = 466.99

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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.