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Finding the Fourth Proportional to 825.44, 1,138.48 and 775.04

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Solution

The fourth proportional to 825.44, 1,138.48 and 775.04 is: 1,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,138.48 = 775.04 : x
  2. Step 2: Convert to fraction form
    825.44/1,138.48 = 775.04/x
  3. Step 3: Cross multiply
    825.44x = 1,138.48 × 775.04
  4. Step 4: Simplify right side
    825.44x = 882,367.54
  5. Step 5: Solve for x
    x = 882,367.54/825.44
  6. Step 6: Final answer
    x = 1,068.97

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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.