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Finding the Fourth Proportional to 2,273, 3,408.93 and 629.46

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Solution

The fourth proportional to 2,273, 3,408.93 and 629.46 is: 944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273 : 3,408.93 = 629.46 : x
  2. Step 2: Convert to fraction form
    2,273/3,408.93 = 629.46/x
  3. Step 3: Cross multiply
    2,273x = 3,408.93 × 629.46
  4. Step 4: Simplify right side
    2,273x = 2,145,785.08
  5. Step 5: Solve for x
    x = 2,145,785.08/2,273
  6. Step 6: Final answer
    x = 944.03

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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.