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Finding the Fourth Proportional to 927.75, 1,391.81 and 414.75

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Solution

The fourth proportional to 927.75, 1,391.81 and 414.75 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.75 : 1,391.81 = 414.75 : x
  2. Step 2: Convert to fraction form
    927.75/1,391.81 = 414.75/x
  3. Step 3: Cross multiply
    927.75x = 1,391.81 × 414.75
  4. Step 4: Simplify right side
    927.75x = 577,251.12
  5. Step 5: Solve for x
    x = 577,251.12/927.75
  6. Step 6: Final answer
    x = 622.21

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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.