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Finding the Fourth Proportional to 814.09, 1,221.19 and 352.31

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Solution

The fourth proportional to 814.09, 1,221.19 and 352.31 is: 528.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.09 : 1,221.19 = 352.31 : x
  2. Step 2: Convert to fraction form
    814.09/1,221.19 = 352.31/x
  3. Step 3: Cross multiply
    814.09x = 1,221.19 × 352.31
  4. Step 4: Simplify right side
    814.09x = 430,239.54
  5. Step 5: Solve for x
    x = 430,239.54/814.09
  6. Step 6: Final answer
    x = 528.49

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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.