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Finding the Fourth Proportional to 1,297.10, 1,786.11 and 1,063.82

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Solution

The fourth proportional to 1,297.10, 1,786.11 and 1,063.82 is: 1,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.10 : 1,786.11 = 1,063.82 : x
  2. Step 2: Convert to fraction form
    1,297.10/1,786.11 = 1,063.82/x
  3. Step 3: Cross multiply
    1,297.10x = 1,786.11 × 1,063.82
  4. Step 4: Simplify right side
    1,297.10x = 1,900,099.54
  5. Step 5: Solve for x
    x = 1,900,099.54/1,297.10
  6. Step 6: Final answer
    x = 1,464.88

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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.