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Finding the Fourth Proportional to 1,862.69, 2,793.42 and 629.73

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Solution

The fourth proportional to 1,862.69, 2,793.42 and 629.73 is: 944.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.69 : 2,793.42 = 629.73 : x
  2. Step 2: Convert to fraction form
    1,862.69/2,793.42 = 629.73/x
  3. Step 3: Cross multiply
    1,862.69x = 2,793.42 × 629.73
  4. Step 4: Simplify right side
    1,862.69x = 1,759,100.38
  5. Step 5: Solve for x
    x = 1,759,100.38/1,862.69
  6. Step 6: Final answer
    x = 944.39

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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.