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Finding the Fourth Proportional to 836.57, 1,256.28 and 697.60

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Solution

The fourth proportional to 836.57, 1,256.28 and 697.60 is: 1,047.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.57 : 1,256.28 = 697.60 : x
  2. Step 2: Convert to fraction form
    836.57/1,256.28 = 697.60/x
  3. Step 3: Cross multiply
    836.57x = 1,256.28 × 697.60
  4. Step 4: Simplify right side
    836.57x = 876,380.93
  5. Step 5: Solve for x
    x = 876,380.93/836.57
  6. Step 6: Final answer
    x = 1,047.59

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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.