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Finding the Fourth Proportional to 663.90, 994.91 and 489.20

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Solution

The fourth proportional to 663.90, 994.91 and 489.20 is: 733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.90 : 994.91 = 489.20 : x
  2. Step 2: Convert to fraction form
    663.90/994.91 = 489.20/x
  3. Step 3: Cross multiply
    663.90x = 994.91 × 489.20
  4. Step 4: Simplify right side
    663.90x = 486,709.97
  5. Step 5: Solve for x
    x = 486,709.97/663.90
  6. Step 6: Final answer
    x = 733.11

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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.