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Finding the Fourth Proportional to 1,393.56, 1,923.11 and 764.09

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Solution

The fourth proportional to 1,393.56, 1,923.11 and 764.09 is: 1,054.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.56 : 1,923.11 = 764.09 : x
  2. Step 2: Convert to fraction form
    1,393.56/1,923.11 = 764.09/x
  3. Step 3: Cross multiply
    1,393.56x = 1,923.11 × 764.09
  4. Step 4: Simplify right side
    1,393.56x = 1,469,415.68
  5. Step 5: Solve for x
    x = 1,469,415.68/1,393.56
  6. Step 6: Final answer
    x = 1,054.43

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1.5x scale

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.