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Finding the Fourth Proportional to 927.29, 1,391.12 and 440.08

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Solution

The fourth proportional to 927.29, 1,391.12 and 440.08 is: 660.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.29 : 1,391.12 = 440.08 : x
  2. Step 2: Convert to fraction form
    927.29/1,391.12 = 440.08/x
  3. Step 3: Cross multiply
    927.29x = 1,391.12 × 440.08
  4. Step 4: Simplify right side
    927.29x = 612,204.09
  5. Step 5: Solve for x
    x = 612,204.09/927.29
  6. Step 6: Final answer
    x = 660.21

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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.