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Finding the Fourth Proportional to 1,083.85, 1,625.76 and 736.31

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Solution

The fourth proportional to 1,083.85, 1,625.76 and 736.31 is: 1,104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.85 : 1,625.76 = 736.31 : x
  2. Step 2: Convert to fraction form
    1,083.85/1,625.76 = 736.31/x
  3. Step 3: Cross multiply
    1,083.85x = 1,625.76 × 736.31
  4. Step 4: Simplify right side
    1,083.85x = 1,197,067.41
  5. Step 5: Solve for x
    x = 1,197,067.41/1,083.85
  6. Step 6: Final answer
    x = 1,104.46

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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.