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Finding the Fourth Proportional to 1,862.27, 2,793.54 and 629.72

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Solution

The fourth proportional to 1,862.27, 2,793.54 and 629.72 is: 944.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.27 : 2,793.54 = 629.72 : x
  2. Step 2: Convert to fraction form
    1,862.27/2,793.54 = 629.72/x
  3. Step 3: Cross multiply
    1,862.27x = 2,793.54 × 629.72
  4. Step 4: Simplify right side
    1,862.27x = 1,759,148.01
  5. Step 5: Solve for x
    x = 1,759,148.01/1,862.27
  6. Step 6: Final answer
    x = 944.63

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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.