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Finding the Fourth Proportional to 1,096.07, 1,645.19 and 480.20

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Solution

The fourth proportional to 1,096.07, 1,645.19 and 480.20 is: 720.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.07 : 1,645.19 = 480.20 : x
  2. Step 2: Convert to fraction form
    1,096.07/1,645.19 = 480.20/x
  3. Step 3: Cross multiply
    1,096.07x = 1,645.19 × 480.20
  4. Step 4: Simplify right side
    1,096.07x = 790,020.24
  5. Step 5: Solve for x
    x = 790,020.24/1,096.07
  6. Step 6: Final answer
    x = 720.78

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