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Finding the Fourth Proportional to 721.90, 1,083.57 and 397.42

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Solution

The fourth proportional to 721.90, 1,083.57 and 397.42 is: 596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.90 : 1,083.57 = 397.42 : x
  2. Step 2: Convert to fraction form
    721.90/1,083.57 = 397.42/x
  3. Step 3: Cross multiply
    721.90x = 1,083.57 × 397.42
  4. Step 4: Simplify right side
    721.90x = 430,632.39
  5. Step 5: Solve for x
    x = 430,632.39/721.90
  6. Step 6: Final answer
    x = 596.53

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