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Finding the Fourth Proportional to 1,462.82, 2,194.24 and 489

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Solution

The fourth proportional to 1,462.82, 2,194.24 and 489 is: 733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.82 : 2,194.24 = 489 : x
  2. Step 2: Convert to fraction form
    1,462.82/2,194.24 = 489/x
  3. Step 3: Cross multiply
    1,462.82x = 2,194.24 × 489
  4. Step 4: Simplify right side
    1,462.82x = 1,072,983.36
  5. Step 5: Solve for x
    x = 1,072,983.36/1,462.82
  6. Step 6: Final answer
    x = 733.50

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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.