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Finding the Fourth Proportional to 1,096.54, 1,645.45 and 480.22

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Solution

The fourth proportional to 1,096.54, 1,645.45 and 480.22 is: 720.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.54 : 1,645.45 = 480.22 : x
  2. Step 2: Convert to fraction form
    1,096.54/1,645.45 = 480.22/x
  3. Step 3: Cross multiply
    1,096.54x = 1,645.45 × 480.22
  4. Step 4: Simplify right side
    1,096.54x = 790,172.68
  5. Step 5: Solve for x
    x = 790,172.68/1,096.54
  6. Step 6: Final answer
    x = 720.61

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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.