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Finding the Fourth Proportional to 911.38, 1,367.06 and 548.50

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Solution

The fourth proportional to 911.38, 1,367.06 and 548.50 is: 822.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.38 : 1,367.06 = 548.50 : x
  2. Step 2: Convert to fraction form
    911.38/1,367.06 = 548.50/x
  3. Step 3: Cross multiply
    911.38x = 1,367.06 × 548.50
  4. Step 4: Simplify right side
    911.38x = 749,832.41
  5. Step 5: Solve for x
    x = 749,832.41/911.38
  6. Step 6: Final answer
    x = 822.74

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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.