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Finding the Fourth Proportional to 927.84, 1,391.76 and 311.56

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Solution

The fourth proportional to 927.84, 1,391.76 and 311.56 is: 467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.84 : 1,391.76 = 311.56 : x
  2. Step 2: Convert to fraction form
    927.84/1,391.76 = 311.56/x
  3. Step 3: Cross multiply
    927.84x = 1,391.76 × 311.56
  4. Step 4: Simplify right side
    927.84x = 433,616.75
  5. Step 5: Solve for x
    x = 433,616.75/927.84
  6. Step 6: Final answer
    x = 467.34

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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.