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Finding the Fourth Proportional to 814.59, 1,222.43 and 327.65

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Solution

The fourth proportional to 814.59, 1,222.43 and 327.65 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.59 : 1,222.43 = 327.65 : x
  2. Step 2: Convert to fraction form
    814.59/1,222.43 = 327.65/x
  3. Step 3: Cross multiply
    814.59x = 1,222.43 × 327.65
  4. Step 4: Simplify right side
    814.59x = 400,521.44
  5. Step 5: Solve for x
    x = 400,521.44/814.59
  6. Step 6: Final answer
    x = 491.68

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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.