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Finding the Fourth Proportional to 1,296.29, 1,788.70 and 736.53

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Solution

The fourth proportional to 1,296.29, 1,788.70 and 736.53 is: 1,016.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.29 : 1,788.70 = 736.53 : x
  2. Step 2: Convert to fraction form
    1,296.29/1,788.70 = 736.53/x
  3. Step 3: Cross multiply
    1,296.29x = 1,788.70 × 736.53
  4. Step 4: Simplify right side
    1,296.29x = 1,317,431.21
  5. Step 5: Solve for x
    x = 1,317,431.21/1,296.29
  6. Step 6: Final answer
    x = 1,016.31

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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.