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Finding the Fourth Proportional to 722.52, 1,083.56 and 480.32

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Solution

The fourth proportional to 722.52, 1,083.56 and 480.32 is: 720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.52 : 1,083.56 = 480.32 : x
  2. Step 2: Convert to fraction form
    722.52/1,083.56 = 480.32/x
  3. Step 3: Cross multiply
    722.52x = 1,083.56 × 480.32
  4. Step 4: Simplify right side
    722.52x = 520,455.54
  5. Step 5: Solve for x
    x = 520,455.54/722.52
  6. Step 6: Final answer
    x = 720.33

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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.