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Finding the Fourth Proportional to 834.73, 1,248.42 and 681.64

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Solution

The fourth proportional to 834.73, 1,248.42 and 681.64 is: 1,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.73 : 1,248.42 = 681.64 : x
  2. Step 2: Convert to fraction form
    834.73/1,248.42 = 681.64/x
  3. Step 3: Cross multiply
    834.73x = 1,248.42 × 681.64
  4. Step 4: Simplify right side
    834.73x = 850,973.01
  5. Step 5: Solve for x
    x = 850,973.01/834.73
  6. Step 6: Final answer
    x = 1,019.46

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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.