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Finding the Fourth Proportional to 1,236.17, 1,705.87 and 712.28

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Solution

The fourth proportional to 1,236.17, 1,705.87 and 712.28 is: 982.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.17 : 1,705.87 = 712.28 : x
  2. Step 2: Convert to fraction form
    1,236.17/1,705.87 = 712.28/x
  3. Step 3: Cross multiply
    1,236.17x = 1,705.87 × 712.28
  4. Step 4: Simplify right side
    1,236.17x = 1,215,057.08
  5. Step 5: Solve for x
    x = 1,215,057.08/1,236.17
  6. Step 6: Final answer
    x = 982.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.