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Finding the Fourth Proportional to 923.44, 1,382.82 and 489.64

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Solution

The fourth proportional to 923.44, 1,382.82 and 489.64 is: 733.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.44 : 1,382.82 = 489.64 : x
  2. Step 2: Convert to fraction form
    923.44/1,382.82 = 489.64/x
  3. Step 3: Cross multiply
    923.44x = 1,382.82 × 489.64
  4. Step 4: Simplify right side
    923.44x = 677,083.98
  5. Step 5: Solve for x
    x = 677,083.98/923.44
  6. Step 6: Final answer
    x = 733.22

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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.