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Finding the Fourth Proportional to 818.73, 1,222.67 and 719.37

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Solution

The fourth proportional to 818.73, 1,222.67 and 719.37 is: 1,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.73 : 1,222.67 = 719.37 : x
  2. Step 2: Convert to fraction form
    818.73/1,222.67 = 719.37/x
  3. Step 3: Cross multiply
    818.73x = 1,222.67 × 719.37
  4. Step 4: Simplify right side
    818.73x = 879,553.92
  5. Step 5: Solve for x
    x = 879,553.92/818.73
  6. Step 6: Final answer
    x = 1,074.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.