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Finding the Fourth Proportional to 825.44, 1,237.92 and 565.39

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Solution

The fourth proportional to 825.44, 1,237.92 and 565.39 is: 847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.44 : 1,237.92 = 565.39 : x
  2. Step 2: Convert to fraction form
    825.44/1,237.92 = 565.39/x
  3. Step 3: Cross multiply
    825.44x = 1,237.92 × 565.39
  4. Step 4: Simplify right side
    825.44x = 699,907.02
  5. Step 5: Solve for x
    x = 699,907.02/825.44
  6. Step 6: Final answer
    x = 847.93

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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.