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Finding the Fourth Proportional to 820.62, 1,126.73 and 799.22

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Solution

The fourth proportional to 820.62, 1,126.73 and 799.22 is: 1,097.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.62 : 1,126.73 = 799.22 : x
  2. Step 2: Convert to fraction form
    820.62/1,126.73 = 799.22/x
  3. Step 3: Cross multiply
    820.62x = 1,126.73 × 799.22
  4. Step 4: Simplify right side
    820.62x = 900,502.46
  5. Step 5: Solve for x
    x = 900,502.46/820.62
  6. Step 6: Final answer
    x = 1,097.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.