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Finding the Fourth Proportional to 665.59, 996.21 and 489.85

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Solution

The fourth proportional to 665.59, 996.21 and 489.85 is: 733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.59 : 996.21 = 489.85 : x
  2. Step 2: Convert to fraction form
    665.59/996.21 = 489.85/x
  3. Step 3: Cross multiply
    665.59x = 996.21 × 489.85
  4. Step 4: Simplify right side
    665.59x = 487,987.26
  5. Step 5: Solve for x
    x = 487,987.26/665.59
  6. Step 6: Final answer
    x = 733.16

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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.