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Finding the Fourth Proportional to 722.19, 1,083.09 and 259.91

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Solution

The fourth proportional to 722.19, 1,083.09 and 259.91 is: 389.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.19 : 1,083.09 = 259.91 : x
  2. Step 2: Convert to fraction form
    722.19/1,083.09 = 259.91/x
  3. Step 3: Cross multiply
    722.19x = 1,083.09 × 259.91
  4. Step 4: Simplify right side
    722.19x = 281,505.92
  5. Step 5: Solve for x
    x = 281,505.92/722.19
  6. Step 6: Final answer
    x = 389.79

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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.