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Finding the Fourth Proportional to 1,096, 1,643.08 and 447.20

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Solution

The fourth proportional to 1,096, 1,643.08 and 447.20 is: 670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096 : 1,643.08 = 447.20 : x
  2. Step 2: Convert to fraction form
    1,096/1,643.08 = 447.20/x
  3. Step 3: Cross multiply
    1,096x = 1,643.08 × 447.20
  4. Step 4: Simplify right side
    1,096x = 734,785.38
  5. Step 5: Solve for x
    x = 734,785.38/1,096
  6. Step 6: Final answer
    x = 670.42

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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.