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Finding the Fourth Proportional to 2,272.92, 3,409.19 and 629.49

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Solution

The fourth proportional to 2,272.92, 3,409.19 and 629.49 is: 944.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.92 : 3,409.19 = 629.49 : x
  2. Step 2: Convert to fraction form
    2,272.92/3,409.19 = 629.49/x
  3. Step 3: Cross multiply
    2,272.92x = 3,409.19 × 629.49
  4. Step 4: Simplify right side
    2,272.92x = 2,146,051.01
  5. Step 5: Solve for x
    x = 2,146,051.01/2,272.92
  6. Step 6: Final answer
    x = 944.18

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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.