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Finding the Fourth Proportional to 1,096.10, 1,644.53 and 684.75

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Solution

The fourth proportional to 1,096.10, 1,644.53 and 684.75 is: 1,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.10 : 1,644.53 = 684.75 : x
  2. Step 2: Convert to fraction form
    1,096.10/1,644.53 = 684.75/x
  3. Step 3: Cross multiply
    1,096.10x = 1,644.53 × 684.75
  4. Step 4: Simplify right side
    1,096.10x = 1,126,091.92
  5. Step 5: Solve for x
    x = 1,126,091.92/1,096.10
  6. Step 6: Final answer
    x = 1,027.36

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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.