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Finding the Fourth Proportional to 836.64, 1,251.72 and 681.12

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Solution

The fourth proportional to 836.64, 1,251.72 and 681.12 is: 1,019.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.64 : 1,251.72 = 681.12 : x
  2. Step 2: Convert to fraction form
    836.64/1,251.72 = 681.12/x
  3. Step 3: Cross multiply
    836.64x = 1,251.72 × 681.12
  4. Step 4: Simplify right side
    836.64x = 852,571.53
  5. Step 5: Solve for x
    x = 852,571.53/836.64
  6. Step 6: Final answer
    x = 1,019.04

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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.