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Finding the Fourth Proportional to 722.06, 1,082.61 and 259.61

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Solution

The fourth proportional to 722.06, 1,082.61 and 259.61 is: 389.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.06 : 1,082.61 = 259.61 : x
  2. Step 2: Convert to fraction form
    722.06/1,082.61 = 259.61/x
  3. Step 3: Cross multiply
    722.06x = 1,082.61 × 259.61
  4. Step 4: Simplify right side
    722.06x = 281,056.38
  5. Step 5: Solve for x
    x = 281,056.38/722.06
  6. Step 6: Final answer
    x = 389.24

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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.