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Finding the Fourth Proportional to 844.26, 1,266.76 and 453.81

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Solution

The fourth proportional to 844.26, 1,266.76 and 453.81 is: 680.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    844.26 : 1,266.76 = 453.81 : x
  2. Step 2: Convert to fraction form
    844.26/1,266.76 = 453.81/x
  3. Step 3: Cross multiply
    844.26x = 1,266.76 × 453.81
  4. Step 4: Simplify right side
    844.26x = 574,865.19
  5. Step 5: Solve for x
    x = 574,865.19/844.26
  6. Step 6: Final answer
    x = 680.91

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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.