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Finding the Fourth Proportional to 721.37, 1,083.51 and 677.63

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Solution

The fourth proportional to 721.37, 1,083.51 and 677.63 is: 1,017.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.37 : 1,083.51 = 677.63 : x
  2. Step 2: Convert to fraction form
    721.37/1,083.51 = 677.63/x
  3. Step 3: Cross multiply
    721.37x = 1,083.51 × 677.63
  4. Step 4: Simplify right side
    721.37x = 734,221.59
  5. Step 5: Solve for x
    x = 734,221.59/721.37
  6. Step 6: Final answer
    x = 1,017.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.