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Finding the Fourth Proportional to 1,027.82, 1,419.64 and 1,020.62

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Solution

The fourth proportional to 1,027.82, 1,419.64 and 1,020.62 is: 1,409.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.82 : 1,419.64 = 1,020.62 : x
  2. Step 2: Convert to fraction form
    1,027.82/1,419.64 = 1,020.62/x
  3. Step 3: Cross multiply
    1,027.82x = 1,419.64 × 1,020.62
  4. Step 4: Simplify right side
    1,027.82x = 1,448,912.98
  5. Step 5: Solve for x
    x = 1,448,912.98/1,027.82
  6. Step 6: Final answer
    x = 1,409.70

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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.