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Finding the Fourth Proportional to 814.47, 1,222.61 and 327.86

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Solution

The fourth proportional to 814.47, 1,222.61 and 327.86 is: 492.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.47 : 1,222.61 = 327.86 : x
  2. Step 2: Convert to fraction form
    814.47/1,222.61 = 327.86/x
  3. Step 3: Cross multiply
    814.47x = 1,222.61 × 327.86
  4. Step 4: Simplify right side
    814.47x = 400,837.16
  5. Step 5: Solve for x
    x = 400,837.16/814.47
  6. Step 6: Final answer
    x = 492.14

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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.