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Finding the Fourth Proportional to 892.26, 1,229.85 and 597.42

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Solution

The fourth proportional to 892.26, 1,229.85 and 597.42 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.26 : 1,229.85 = 597.42 : x
  2. Step 2: Convert to fraction form
    892.26/1,229.85 = 597.42/x
  3. Step 3: Cross multiply
    892.26x = 1,229.85 × 597.42
  4. Step 4: Simplify right side
    892.26x = 734,736.99
  5. Step 5: Solve for x
    x = 734,736.99/892.26
  6. Step 6: Final answer
    x = 823.46

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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.