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Finding the Fourth Proportional to 865.22, 1,193.87 and 533.27

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Solution

The fourth proportional to 865.22, 1,193.87 and 533.27 is: 735.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.22 : 1,193.87 = 533.27 : x
  2. Step 2: Convert to fraction form
    865.22/1,193.87 = 533.27/x
  3. Step 3: Cross multiply
    865.22x = 1,193.87 × 533.27
  4. Step 4: Simplify right side
    865.22x = 636,659.37
  5. Step 5: Solve for x
    x = 636,659.37/865.22
  6. Step 6: Final answer
    x = 735.84

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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.