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Finding the Fourth Proportional to 799.49, 1,102.97 and 489.17

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Solution

The fourth proportional to 799.49, 1,102.97 and 489.17 is: 674.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.49 : 1,102.97 = 489.17 : x
  2. Step 2: Convert to fraction form
    799.49/1,102.97 = 489.17/x
  3. Step 3: Cross multiply
    799.49x = 1,102.97 × 489.17
  4. Step 4: Simplify right side
    799.49x = 539,531.87
  5. Step 5: Solve for x
    x = 539,531.87/799.49
  6. Step 6: Final answer
    x = 674.85

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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.