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Finding the Fourth Proportional to 739.72, 1,105.13 and 671.56

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Solution

The fourth proportional to 739.72, 1,105.13 and 671.56 is: 1,003.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.72 : 1,105.13 = 671.56 : x
  2. Step 2: Convert to fraction form
    739.72/1,105.13 = 671.56/x
  3. Step 3: Cross multiply
    739.72x = 1,105.13 × 671.56
  4. Step 4: Simplify right side
    739.72x = 742,161.10
  5. Step 5: Solve for x
    x = 742,161.10/739.72
  6. Step 6: Final answer
    x = 1,003.30

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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.