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Finding the Fourth Proportional to 1,096.15, 1,644.20 and 446.73

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Solution

The fourth proportional to 1,096.15, 1,644.20 and 446.73 is: 670.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.15 : 1,644.20 = 446.73 : x
  2. Step 2: Convert to fraction form
    1,096.15/1,644.20 = 446.73/x
  3. Step 3: Cross multiply
    1,096.15x = 1,644.20 × 446.73
  4. Step 4: Simplify right side
    1,096.15x = 734,513.47
  5. Step 5: Solve for x
    x = 734,513.47/1,096.15
  6. Step 6: Final answer
    x = 670.08

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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.