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Finding the Fourth Proportional to 927.31, 1,279.09 and 596.15

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Solution

The fourth proportional to 927.31, 1,279.09 and 596.15 is: 822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.31 : 1,279.09 = 596.15 : x
  2. Step 2: Convert to fraction form
    927.31/1,279.09 = 596.15/x
  3. Step 3: Cross multiply
    927.31x = 1,279.09 × 596.15
  4. Step 4: Simplify right side
    927.31x = 762,529.50
  5. Step 5: Solve for x
    x = 762,529.50/927.31
  6. Step 6: Final answer
    x = 822.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.