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Finding the Fourth Proportional to 739.15, 1,102.96 and 673.66

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Solution

The fourth proportional to 739.15, 1,102.96 and 673.66 is: 1,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.15 : 1,102.96 = 673.66 : x
  2. Step 2: Convert to fraction form
    739.15/1,102.96 = 673.66/x
  3. Step 3: Cross multiply
    739.15x = 1,102.96 × 673.66
  4. Step 4: Simplify right side
    739.15x = 743,020.03
  5. Step 5: Solve for x
    x = 743,020.03/739.15
  6. Step 6: Final answer
    x = 1,005.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.