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Finding the Fourth Proportional to 721.37, 1,081.14 and 489.68

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Solution

The fourth proportional to 721.37, 1,081.14 and 489.68 is: 733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    721.37 : 1,081.14 = 489.68 : x
  2. Step 2: Convert to fraction form
    721.37/1,081.14 = 489.68/x
  3. Step 3: Cross multiply
    721.37x = 1,081.14 × 489.68
  4. Step 4: Simplify right side
    721.37x = 529,410.19
  5. Step 5: Solve for x
    x = 529,410.19/721.37
  6. Step 6: Final answer
    x = 733.90

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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.