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Finding the Fourth Proportional to 1,299.56, 1,958.11 and 1,073.51

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Solution

The fourth proportional to 1,299.56, 1,958.11 and 1,073.51 is: 1,617.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.56 : 1,958.11 = 1,073.51 : x
  2. Step 2: Convert to fraction form
    1,299.56/1,958.11 = 1,073.51/x
  3. Step 3: Cross multiply
    1,299.56x = 1,958.11 × 1,073.51
  4. Step 4: Simplify right side
    1,299.56x = 2,102,052.88
  5. Step 5: Solve for x
    x = 2,102,052.88/1,299.56
  6. Step 6: Final answer
    x = 1,617.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.