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Finding the Fourth Proportional to 817.96, 1,221.80 and 681.13

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Solution

The fourth proportional to 817.96, 1,221.80 and 681.13 is: 1,017.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.96 : 1,221.80 = 681.13 : x
  2. Step 2: Convert to fraction form
    817.96/1,221.80 = 681.13/x
  3. Step 3: Cross multiply
    817.96x = 1,221.80 × 681.13
  4. Step 4: Simplify right side
    817.96x = 832,204.63
  5. Step 5: Solve for x
    x = 832,204.63/817.96
  6. Step 6: Final answer
    x = 1,017.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.