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Finding the Fourth Proportional to 739.14, 1,107.90 and 450.78

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Solution

The fourth proportional to 739.14, 1,107.90 and 450.78 is: 675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.14 : 1,107.90 = 450.78 : x
  2. Step 2: Convert to fraction form
    739.14/1,107.90 = 450.78/x
  3. Step 3: Cross multiply
    739.14x = 1,107.90 × 450.78
  4. Step 4: Simplify right side
    739.14x = 499,419.16
  5. Step 5: Solve for x
    x = 499,419.16/739.14
  6. Step 6: Final answer
    x = 675.68

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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.