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Finding the Fourth Proportional to 896.33, 1,342.98 and 548.94

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Solution

The fourth proportional to 896.33, 1,342.98 and 548.94 is: 822.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.33 : 1,342.98 = 548.94 : x
  2. Step 2: Convert to fraction form
    896.33/1,342.98 = 548.94/x
  3. Step 3: Cross multiply
    896.33x = 1,342.98 × 548.94
  4. Step 4: Simplify right side
    896.33x = 737,215.44
  5. Step 5: Solve for x
    x = 737,215.44/896.33
  6. Step 6: Final answer
    x = 822.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.