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Finding the Fourth Proportional to 927.90, 1,391.32 and 379.44

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Solution

The fourth proportional to 927.90, 1,391.32 and 379.44 is: 568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.90 : 1,391.32 = 379.44 : x
  2. Step 2: Convert to fraction form
    927.90/1,391.32 = 379.44/x
  3. Step 3: Cross multiply
    927.90x = 1,391.32 × 379.44
  4. Step 4: Simplify right side
    927.90x = 527,922.46
  5. Step 5: Solve for x
    x = 527,922.46/927.90
  6. Step 6: Final answer
    x = 568.94

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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.