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Finding the Fourth Proportional to 829.78, 1,138.18 and 822.90

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Solution

The fourth proportional to 829.78, 1,138.18 and 822.90 is: 1,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.78 : 1,138.18 = 822.90 : x
  2. Step 2: Convert to fraction form
    829.78/1,138.18 = 822.90/x
  3. Step 3: Cross multiply
    829.78x = 1,138.18 × 822.90
  4. Step 4: Simplify right side
    829.78x = 936,608.32
  5. Step 5: Solve for x
    x = 936,608.32/829.78
  6. Step 6: Final answer
    x = 1,128.74

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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.