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Finding the Fourth Proportional to 722.10, 1,083.42 and 259.86

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Solution

The fourth proportional to 722.10, 1,083.42 and 259.86 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.10 : 1,083.42 = 259.86 : x
  2. Step 2: Convert to fraction form
    722.10/1,083.42 = 259.86/x
  3. Step 3: Cross multiply
    722.10x = 1,083.42 × 259.86
  4. Step 4: Simplify right side
    722.10x = 281,537.52
  5. Step 5: Solve for x
    x = 281,537.52/722.10
  6. Step 6: Final answer
    x = 389.89

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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.