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Finding the Fourth Proportional to 833.56, 1,247.82 and 685.96

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Solution

The fourth proportional to 833.56, 1,247.82 and 685.96 is: 1,026.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,247.82 = 685.96 : x
  2. Step 2: Convert to fraction form
    833.56/1,247.82 = 685.96/x
  3. Step 3: Cross multiply
    833.56x = 1,247.82 × 685.96
  4. Step 4: Simplify right side
    833.56x = 855,954.61
  5. Step 5: Solve for x
    x = 855,954.61/833.56
  6. Step 6: Final answer
    x = 1,026.87

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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.