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Finding the Fourth Proportional to 865.60, 1,194 and 533.44

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Solution

The fourth proportional to 865.60, 1,194 and 533.44 is: 735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.60 : 1,194 = 533.44 : x
  2. Step 2: Convert to fraction form
    865.60/1,194 = 533.44/x
  3. Step 3: Cross multiply
    865.60x = 1,194 × 533.44
  4. Step 4: Simplify right side
    865.60x = 636,927.36
  5. Step 5: Solve for x
    x = 636,927.36/865.60
  6. Step 6: Final answer
    x = 735.82

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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.