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Finding the Fourth Proportional to 745.26, 1,112.84 and 694.23

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Solution

The fourth proportional to 745.26, 1,112.84 and 694.23 is: 1,036.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.26 : 1,112.84 = 694.23 : x
  2. Step 2: Convert to fraction form
    745.26/1,112.84 = 694.23/x
  3. Step 3: Cross multiply
    745.26x = 1,112.84 × 694.23
  4. Step 4: Simplify right side
    745.26x = 772,563.44
  5. Step 5: Solve for x
    x = 772,563.44/745.26
  6. Step 6: Final answer
    x = 1,036.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.