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Finding the Fourth Proportional to 820.62, 1,229.49 and 690.48

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Solution

The fourth proportional to 820.62, 1,229.49 and 690.48 is: 1,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.62 : 1,229.49 = 690.48 : x
  2. Step 2: Convert to fraction form
    820.62/1,229.49 = 690.48/x
  3. Step 3: Cross multiply
    820.62x = 1,229.49 × 690.48
  4. Step 4: Simplify right side
    820.62x = 848,938.26
  5. Step 5: Solve for x
    x = 848,938.26/820.62
  6. Step 6: Final answer
    x = 1,034.51

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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.