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Finding the Fourth Proportional to 843.75, 1,268.46 and 672.57

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Solution

The fourth proportional to 843.75, 1,268.46 and 672.57 is: 1,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.75 : 1,268.46 = 672.57 : x
  2. Step 2: Convert to fraction form
    843.75/1,268.46 = 672.57/x
  3. Step 3: Cross multiply
    843.75x = 1,268.46 × 672.57
  4. Step 4: Simplify right side
    843.75x = 853,128.14
  5. Step 5: Solve for x
    x = 853,128.14/843.75
  6. Step 6: Final answer
    x = 1,011.11

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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.