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Finding the Fourth Proportional to 814.96, 1,222.56 and 404.32

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Solution

The fourth proportional to 814.96, 1,222.56 and 404.32 is: 606.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.96 : 1,222.56 = 404.32 : x
  2. Step 2: Convert to fraction form
    814.96/1,222.56 = 404.32/x
  3. Step 3: Cross multiply
    814.96x = 1,222.56 × 404.32
  4. Step 4: Simplify right side
    814.96x = 494,305.46
  5. Step 5: Solve for x
    x = 494,305.46/814.96
  6. Step 6: Final answer
    x = 606.54

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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.