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Finding the Fourth Proportional to 1,320.52, 1,822.26 and 796.60

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Solution

The fourth proportional to 1,320.52, 1,822.26 and 796.60 is: 1,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.52 : 1,822.26 = 796.60 : x
  2. Step 2: Convert to fraction form
    1,320.52/1,822.26 = 796.60/x
  3. Step 3: Cross multiply
    1,320.52x = 1,822.26 × 796.60
  4. Step 4: Simplify right side
    1,320.52x = 1,451,612.32
  5. Step 5: Solve for x
    x = 1,451,612.32/1,320.52
  6. Step 6: Final answer
    x = 1,099.27

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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.