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Finding the Fourth Proportional to 1,237.44, 1,707.44 and 739.97

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Solution

The fourth proportional to 1,237.44, 1,707.44 and 739.97 is: 1,021.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.44 : 1,707.44 = 739.97 : x
  2. Step 2: Convert to fraction form
    1,237.44/1,707.44 = 739.97/x
  3. Step 3: Cross multiply
    1,237.44x = 1,707.44 × 739.97
  4. Step 4: Simplify right side
    1,237.44x = 1,263,450.68
  5. Step 5: Solve for x
    x = 1,263,450.68/1,237.44
  6. Step 6: Final answer
    x = 1,021.02

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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.