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Finding the Fourth Proportional to 865.57, 1,194.02 and 533.42

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Solution

The fourth proportional to 865.57, 1,194.02 and 533.42 is: 735.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.57 : 1,194.02 = 533.42 : x
  2. Step 2: Convert to fraction form
    865.57/1,194.02 = 533.42/x
  3. Step 3: Cross multiply
    865.57x = 1,194.02 × 533.42
  4. Step 4: Simplify right side
    865.57x = 636,914.15
  5. Step 5: Solve for x
    x = 636,914.15/865.57
  6. Step 6: Final answer
    x = 735.83

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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.