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Finding the Fourth Proportional to 836.82, 1,252.41 and 763.82

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Solution

The fourth proportional to 836.82, 1,252.41 and 763.82 is: 1,143.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.82 : 1,252.41 = 763.82 : x
  2. Step 2: Convert to fraction form
    836.82/1,252.41 = 763.82/x
  3. Step 3: Cross multiply
    836.82x = 1,252.41 × 763.82
  4. Step 4: Simplify right side
    836.82x = 956,615.81
  5. Step 5: Solve for x
    x = 956,615.81/836.82
  6. Step 6: Final answer
    x = 1,143.16

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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.