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Finding the Fourth Proportional to 820.78, 1,229.49 and 495.94

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Solution

The fourth proportional to 820.78, 1,229.49 and 495.94 is: 742.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.78 : 1,229.49 = 495.94 : x
  2. Step 2: Convert to fraction form
    820.78/1,229.49 = 495.94/x
  3. Step 3: Cross multiply
    820.78x = 1,229.49 × 495.94
  4. Step 4: Simplify right side
    820.78x = 609,753.27
  5. Step 5: Solve for x
    x = 609,753.27/820.78
  6. Step 6: Final answer
    x = 742.89

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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.