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Finding the Fourth Proportional to 1,096.78, 1,644.36 and 549.22

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Solution

The fourth proportional to 1,096.78, 1,644.36 and 549.22 is: 823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.78 : 1,644.36 = 549.22 : x
  2. Step 2: Convert to fraction form
    1,096.78/1,644.36 = 549.22/x
  3. Step 3: Cross multiply
    1,096.78x = 1,644.36 × 549.22
  4. Step 4: Simplify right side
    1,096.78x = 903,115.40
  5. Step 5: Solve for x
    x = 903,115.40/1,096.78
  6. Step 6: Final answer
    x = 823.42

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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.