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Finding the Fourth Proportional to 546.26, 818.49 and 489.80

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Solution

The fourth proportional to 546.26, 818.49 and 489.80 is: 733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.26 : 818.49 = 489.80 : x
  2. Step 2: Convert to fraction form
    546.26/818.49 = 489.80/x
  3. Step 3: Cross multiply
    546.26x = 818.49 × 489.80
  4. Step 4: Simplify right side
    546.26x = 400,896.40
  5. Step 5: Solve for x
    x = 400,896.40/546.26
  6. Step 6: Final answer
    x = 733.89

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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.