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Finding the Fourth Proportional to 825.66, 1,137.78 and 815.44

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Solution

The fourth proportional to 825.66, 1,137.78 and 815.44 is: 1,123.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.66 : 1,137.78 = 815.44 : x
  2. Step 2: Convert to fraction form
    825.66/1,137.78 = 815.44/x
  3. Step 3: Cross multiply
    825.66x = 1,137.78 × 815.44
  4. Step 4: Simplify right side
    825.66x = 927,791.32
  5. Step 5: Solve for x
    x = 927,791.32/825.66
  6. Step 6: Final answer
    x = 1,123.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.