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Finding the Fourth Proportional to 722.52, 1,083.42 and 235.52

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Solution

The fourth proportional to 722.52, 1,083.42 and 235.52 is: 353.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 1,083.42 = 235.52 : x
  2. Step 2: Convert to fraction form
    722.52/1,083.42 = 235.52/x
  3. Step 3: Cross multiply
    722.52x = 1,083.42 × 235.52
  4. Step 4: Simplify right side
    722.52x = 255,161.66
  5. Step 5: Solve for x
    x = 255,161.66/722.52
  6. Step 6: Final answer
    x = 353.16

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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.