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Finding the Fourth Proportional to 663.93, 994.96 and 489.23

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Solution

The fourth proportional to 663.93, 994.96 and 489.23 is: 733.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.93 : 994.96 = 489.23 : x
  2. Step 2: Convert to fraction form
    663.93/994.96 = 489.23/x
  3. Step 3: Cross multiply
    663.93x = 994.96 × 489.23
  4. Step 4: Simplify right side
    663.93x = 486,758.08
  5. Step 5: Solve for x
    x = 486,758.08/663.93
  6. Step 6: Final answer
    x = 733.15

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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.