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Finding the Fourth Proportional to 1,236.33, 1,705.73 and 882.32

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Solution

The fourth proportional to 1,236.33, 1,705.73 and 882.32 is: 1,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.33 : 1,705.73 = 882.32 : x
  2. Step 2: Convert to fraction form
    1,236.33/1,705.73 = 882.32/x
  3. Step 3: Cross multiply
    1,236.33x = 1,705.73 × 882.32
  4. Step 4: Simplify right side
    1,236.33x = 1,504,986.75
  5. Step 5: Solve for x
    x = 1,504,986.75/1,236.33
  6. Step 6: Final answer
    x = 1,217.30

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1.5x scale

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.