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Finding the Fourth Proportional to 1,049.28, 1,447.94 and 629.66

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Solution

The fourth proportional to 1,049.28, 1,447.94 and 629.66 is: 868.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.28 : 1,447.94 = 629.66 : x
  2. Step 2: Convert to fraction form
    1,049.28/1,447.94 = 629.66/x
  3. Step 3: Cross multiply
    1,049.28x = 1,447.94 × 629.66
  4. Step 4: Simplify right side
    1,049.28x = 911,699.51
  5. Step 5: Solve for x
    x = 911,699.51/1,049.28
  6. Step 6: Final answer
    x = 868.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.