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Finding the Fourth Proportional to 1,378.26, 1,902.00 and 764.33

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Solution

The fourth proportional to 1,378.26, 1,902.00 and 764.33 is: 1,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.26 : 1,902.00 = 764.33 : x
  2. Step 2: Convert to fraction form
    1,378.26/1,902.00 = 764.33/x
  3. Step 3: Cross multiply
    1,378.26x = 1,902.00 × 764.33
  4. Step 4: Simplify right side
    1,378.26x = 1,453,749.02
  5. Step 5: Solve for x
    x = 1,453,749.02/1,378.26
  6. Step 6: Final answer
    x = 1,054.77

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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.