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Finding the Fourth Proportional to 814.17, 1,220.37 and 402.78

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Solution

The fourth proportional to 814.17, 1,220.37 and 402.78 is: 603.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.17 : 1,220.37 = 402.78 : x
  2. Step 2: Convert to fraction form
    814.17/1,220.37 = 402.78/x
  3. Step 3: Cross multiply
    814.17x = 1,220.37 × 402.78
  4. Step 4: Simplify right side
    814.17x = 491,540.63
  5. Step 5: Solve for x
    x = 491,540.63/814.17
  6. Step 6: Final answer
    x = 603.73

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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.