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Finding the Fourth Proportional to 1,296.05, 1,788.69 and 736.55

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Solution

The fourth proportional to 1,296.05, 1,788.69 and 736.55 is: 1,016.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.05 : 1,788.69 = 736.55 : x
  2. Step 2: Convert to fraction form
    1,296.05/1,788.69 = 736.55/x
  3. Step 3: Cross multiply
    1,296.05x = 1,788.69 × 736.55
  4. Step 4: Simplify right side
    1,296.05x = 1,317,450.68
  5. Step 5: Solve for x
    x = 1,317,450.68/1,296.05
  6. Step 6: Final answer
    x = 1,016.52

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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.