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Finding the Fourth Proportional to 1,027.56, 1,419.84 and 896.34

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Solution

The fourth proportional to 1,027.56, 1,419.84 and 896.34 is: 1,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.56 : 1,419.84 = 896.34 : x
  2. Step 2: Convert to fraction form
    1,027.56/1,419.84 = 896.34/x
  3. Step 3: Cross multiply
    1,027.56x = 1,419.84 × 896.34
  4. Step 4: Simplify right side
    1,027.56x = 1,272,659.39
  5. Step 5: Solve for x
    x = 1,272,659.39/1,027.56
  6. Step 6: Final answer
    x = 1,238.53

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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.