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Finding the Fourth Proportional to 891.25, 1,228.96 and 681.46

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Solution

The fourth proportional to 891.25, 1,228.96 and 681.46 is: 939.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.25 : 1,228.96 = 681.46 : x
  2. Step 2: Convert to fraction form
    891.25/1,228.96 = 681.46/x
  3. Step 3: Cross multiply
    891.25x = 1,228.96 × 681.46
  4. Step 4: Simplify right side
    891.25x = 837,487.08
  5. Step 5: Solve for x
    x = 837,487.08/891.25
  6. Step 6: Final answer
    x = 939.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.