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Finding the Fourth Proportional to 836.28, 1,247.31 and 821.70

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Solution

The fourth proportional to 836.28, 1,247.31 and 821.70 is: 1,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.28 : 1,247.31 = 821.70 : x
  2. Step 2: Convert to fraction form
    836.28/1,247.31 = 821.70/x
  3. Step 3: Cross multiply
    836.28x = 1,247.31 × 821.70
  4. Step 4: Simplify right side
    836.28x = 1,024,914.63
  5. Step 5: Solve for x
    x = 1,024,914.63/836.28
  6. Step 6: Final answer
    x = 1,225.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.