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Finding the Fourth Proportional to 1,096.25, 1,645.04 and 479.99

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Solution

The fourth proportional to 1,096.25, 1,645.04 and 479.99 is: 720.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.25 : 1,645.04 = 479.99 : x
  2. Step 2: Convert to fraction form
    1,096.25/1,645.04 = 479.99/x
  3. Step 3: Cross multiply
    1,096.25x = 1,645.04 × 479.99
  4. Step 4: Simplify right side
    1,096.25x = 789,592.12
  5. Step 5: Solve for x
    x = 789,592.12/1,096.25
  6. Step 6: Final answer
    x = 720.27

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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.