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Finding the Fourth Proportional to 745.20, 1,023.60 and 613.92

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Solution

The fourth proportional to 745.20, 1,023.60 and 613.92 is: 843.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    745.20 : 1,023.60 = 613.92 : x
  2. Step 2: Convert to fraction form
    745.20/1,023.60 = 613.92/x
  3. Step 3: Cross multiply
    745.20x = 1,023.60 × 613.92
  4. Step 4: Simplify right side
    745.20x = 628,408.51
  5. Step 5: Solve for x
    x = 628,408.51/745.20
  6. Step 6: Final answer
    x = 843.27

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.