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Finding the Fourth Proportional to 820.16, 1,229.76 and 733.76

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Solution

The fourth proportional to 820.16, 1,229.76 and 733.76 is: 1,100.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.16 : 1,229.76 = 733.76 : x
  2. Step 2: Convert to fraction form
    820.16/1,229.76 = 733.76/x
  3. Step 3: Cross multiply
    820.16x = 1,229.76 × 733.76
  4. Step 4: Simplify right side
    820.16x = 902,348.70
  5. Step 5: Solve for x
    x = 902,348.70/820.16
  6. Step 6: Final answer
    x = 1,100.21

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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.