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Finding the Fourth Proportional to 814.53, 1,221.21 and 352.02

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Solution

The fourth proportional to 814.53, 1,221.21 and 352.02 is: 527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.53 : 1,221.21 = 352.02 : x
  2. Step 2: Convert to fraction form
    814.53/1,221.21 = 352.02/x
  3. Step 3: Cross multiply
    814.53x = 1,221.21 × 352.02
  4. Step 4: Simplify right side
    814.53x = 429,890.34
  5. Step 5: Solve for x
    x = 429,890.34/814.53
  6. Step 6: Final answer
    x = 527.78

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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.