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Finding the Fourth Proportional to 814.02, 1,219.39 and 489.21

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Solution

The fourth proportional to 814.02, 1,219.39 and 489.21 is: 732.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.02 : 1,219.39 = 489.21 : x
  2. Step 2: Convert to fraction form
    814.02/1,219.39 = 489.21/x
  3. Step 3: Cross multiply
    814.02x = 1,219.39 × 489.21
  4. Step 4: Simplify right side
    814.02x = 596,537.78
  5. Step 5: Solve for x
    x = 596,537.78/814.02
  6. Step 6: Final answer
    x = 732.83

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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.