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Finding the Fourth Proportional to 1,255.75, 1,732.93 and 696.23

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Solution

The fourth proportional to 1,255.75, 1,732.93 and 696.23 is: 960.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.75 : 1,732.93 = 696.23 : x
  2. Step 2: Convert to fraction form
    1,255.75/1,732.93 = 696.23/x
  3. Step 3: Cross multiply
    1,255.75x = 1,732.93 × 696.23
  4. Step 4: Simplify right side
    1,255.75x = 1,206,509.19
  5. Step 5: Solve for x
    x = 1,206,509.19/1,255.75
  6. Step 6: Final answer
    x = 960.79

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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.