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Finding the Fourth Proportional to 814.35, 1,221.83 and 489.94

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Solution

The fourth proportional to 814.35, 1,221.83 and 489.94 is: 735.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.35 : 1,221.83 = 489.94 : x
  2. Step 2: Convert to fraction form
    814.35/1,221.83 = 489.94/x
  3. Step 3: Cross multiply
    814.35x = 1,221.83 × 489.94
  4. Step 4: Simplify right side
    814.35x = 598,620.94
  5. Step 5: Solve for x
    x = 598,620.94/814.35
  6. Step 6: Final answer
    x = 735.10

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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.