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Finding the Fourth Proportional to 814.49, 1,221.82 and 352.14

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Solution

The fourth proportional to 814.49, 1,221.82 and 352.14 is: 528.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.49 : 1,221.82 = 352.14 : x
  2. Step 2: Convert to fraction form
    814.49/1,221.82 = 352.14/x
  3. Step 3: Cross multiply
    814.49x = 1,221.82 × 352.14
  4. Step 4: Simplify right side
    814.49x = 430,251.50
  5. Step 5: Solve for x
    x = 430,251.50/814.49
  6. Step 6: Final answer
    x = 528.25

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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.