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Finding the Fourth Proportional to 722.01, 1,083.07 and 259.79

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Solution

The fourth proportional to 722.01, 1,083.07 and 259.79 is: 389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.01 : 1,083.07 = 259.79 : x
  2. Step 2: Convert to fraction form
    722.01/1,083.07 = 259.79/x
  3. Step 3: Cross multiply
    722.01x = 1,083.07 × 259.79
  4. Step 4: Simplify right side
    722.01x = 281,370.76
  5. Step 5: Solve for x
    x = 281,370.76/722.01
  6. Step 6: Final answer
    x = 389.70

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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.