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Finding the Fourth Proportional to 811.96, 1,119.87 and 745.77

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Solution

The fourth proportional to 811.96, 1,119.87 and 745.77 is: 1,028.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.96 : 1,119.87 = 745.77 : x
  2. Step 2: Convert to fraction form
    811.96/1,119.87 = 745.77/x
  3. Step 3: Cross multiply
    811.96x = 1,119.87 × 745.77
  4. Step 4: Simplify right side
    811.96x = 835,161.72
  5. Step 5: Solve for x
    x = 835,161.72/811.96
  6. Step 6: Final answer
    x = 1,028.58

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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.