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Finding the Fourth Proportional to 1,295.99, 1,797.62 and 1,249.28

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Solution

The fourth proportional to 1,295.99, 1,797.62 and 1,249.28 is: 1,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.99 : 1,797.62 = 1,249.28 : x
  2. Step 2: Convert to fraction form
    1,295.99/1,797.62 = 1,249.28/x
  3. Step 3: Cross multiply
    1,295.99x = 1,797.62 × 1,249.28
  4. Step 4: Simplify right side
    1,295.99x = 2,245,728.96
  5. Step 5: Solve for x
    x = 2,245,728.96/1,295.99
  6. Step 6: Final answer
    x = 1,732.84

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.