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Finding the Fourth Proportional to 1,357.26, 1,872.42 and 796.74

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Solution

The fourth proportional to 1,357.26, 1,872.42 and 796.74 is: 1,099.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.26 : 1,872.42 = 796.74 : x
  2. Step 2: Convert to fraction form
    1,357.26/1,872.42 = 796.74/x
  3. Step 3: Cross multiply
    1,357.26x = 1,872.42 × 796.74
  4. Step 4: Simplify right side
    1,357.26x = 1,491,831.91
  5. Step 5: Solve for x
    x = 1,491,831.91/1,357.26
  6. Step 6: Final answer
    x = 1,099.15

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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.