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Finding the Fourth Proportional to 722.45, 1,083.26 and 235.37

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Solution

The fourth proportional to 722.45, 1,083.26 and 235.37 is: 352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.45 : 1,083.26 = 235.37 : x
  2. Step 2: Convert to fraction form
    722.45/1,083.26 = 235.37/x
  3. Step 3: Cross multiply
    722.45x = 1,083.26 × 235.37
  4. Step 4: Simplify right side
    722.45x = 254,960.31
  5. Step 5: Solve for x
    x = 254,960.31/722.45
  6. Step 6: Final answer
    x = 352.91

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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.