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Finding the Fourth Proportional to 1,096.87, 1,644.42 and 403.24

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Solution

The fourth proportional to 1,096.87, 1,644.42 and 403.24 is: 604.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.87 : 1,644.42 = 403.24 : x
  2. Step 2: Convert to fraction form
    1,096.87/1,644.42 = 403.24/x
  3. Step 3: Cross multiply
    1,096.87x = 1,644.42 × 403.24
  4. Step 4: Simplify right side
    1,096.87x = 663,095.92
  5. Step 5: Solve for x
    x = 663,095.92/1,096.87
  6. Step 6: Final answer
    x = 604.53

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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.