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Finding the Fourth Proportional to 1,296.93, 1,940.75 and 746.41

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Solution

The fourth proportional to 1,296.93, 1,940.75 and 746.41 is: 1,116.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.93 : 1,940.75 = 746.41 : x
  2. Step 2: Convert to fraction form
    1,296.93/1,940.75 = 746.41/x
  3. Step 3: Cross multiply
    1,296.93x = 1,940.75 × 746.41
  4. Step 4: Simplify right side
    1,296.93x = 1,448,595.21
  5. Step 5: Solve for x
    x = 1,448,595.21/1,296.93
  6. Step 6: Final answer
    x = 1,116.94

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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.