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Finding the Fourth Proportional to 1,295.63, 1,789.68 and 960.22

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Solution

The fourth proportional to 1,295.63, 1,789.68 and 960.22 is: 1,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.63 : 1,789.68 = 960.22 : x
  2. Step 2: Convert to fraction form
    1,295.63/1,789.68 = 960.22/x
  3. Step 3: Cross multiply
    1,295.63x = 1,789.68 × 960.22
  4. Step 4: Simplify right side
    1,295.63x = 1,718,486.53
  5. Step 5: Solve for x
    x = 1,718,486.53/1,295.63
  6. Step 6: Final answer
    x = 1,326.37

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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.