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Finding the Fourth Proportional to 739.02, 1,107.92 and 374.06

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Solution

The fourth proportional to 739.02, 1,107.92 and 374.06 is: 560.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.02 : 1,107.92 = 374.06 : x
  2. Step 2: Convert to fraction form
    739.02/1,107.92 = 374.06/x
  3. Step 3: Cross multiply
    739.02x = 1,107.92 × 374.06
  4. Step 4: Simplify right side
    739.02x = 414,428.56
  5. Step 5: Solve for x
    x = 414,428.56/739.02
  6. Step 6: Final answer
    x = 560.78

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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.