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Finding the Fourth Proportional to 843.60, 1,266.96 and 626.48

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Solution

The fourth proportional to 843.60, 1,266.96 and 626.48 is: 940.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.60 : 1,266.96 = 626.48 : x
  2. Step 2: Convert to fraction form
    843.60/1,266.96 = 626.48/x
  3. Step 3: Cross multiply
    843.60x = 1,266.96 × 626.48
  4. Step 4: Simplify right side
    843.60x = 793,725.10
  5. Step 5: Solve for x
    x = 793,725.10/843.60
  6. Step 6: Final answer
    x = 940.88

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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.