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Finding the Fourth Proportional to 843.42, 1,265.26 and 453.54

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Solution

The fourth proportional to 843.42, 1,265.26 and 453.54 is: 680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.42 : 1,265.26 = 453.54 : x
  2. Step 2: Convert to fraction form
    843.42/1,265.26 = 453.54/x
  3. Step 3: Cross multiply
    843.42x = 1,265.26 × 453.54
  4. Step 4: Simplify right side
    843.42x = 573,846.02
  5. Step 5: Solve for x
    x = 573,846.02/843.42
  6. Step 6: Final answer
    x = 680.38

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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.