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Finding the Fourth Proportional to 843.68, 1,263.40 and 681.68

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Solution

The fourth proportional to 843.68, 1,263.40 and 681.68 is: 1,020.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.68 : 1,263.40 = 681.68 : x
  2. Step 2: Convert to fraction form
    843.68/1,263.40 = 681.68/x
  3. Step 3: Cross multiply
    843.68x = 1,263.40 × 681.68
  4. Step 4: Simplify right side
    843.68x = 861,234.51
  5. Step 5: Solve for x
    x = 861,234.51/843.68
  6. Step 6: Final answer
    x = 1,020.81

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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.