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Finding the Fourth Proportional to 843.96, 1,259.26 and 745.48

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Solution

The fourth proportional to 843.96, 1,259.26 and 745.48 is: 1,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.96 : 1,259.26 = 745.48 : x
  2. Step 2: Convert to fraction form
    843.96/1,259.26 = 745.48/x
  3. Step 3: Cross multiply
    843.96x = 1,259.26 × 745.48
  4. Step 4: Simplify right side
    843.96x = 938,753.14
  5. Step 5: Solve for x
    x = 938,753.14/843.96
  6. Step 6: Final answer
    x = 1,112.32

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1.5x scale

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.