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Finding the Fourth Proportional to 722.46, 1,084.77 and 414.66

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Solution

The fourth proportional to 722.46, 1,084.77 and 414.66 is: 622.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.46 : 1,084.77 = 414.66 : x
  2. Step 2: Convert to fraction form
    722.46/1,084.77 = 414.66/x
  3. Step 3: Cross multiply
    722.46x = 1,084.77 × 414.66
  4. Step 4: Simplify right side
    722.46x = 449,810.73
  5. Step 5: Solve for x
    x = 449,810.73/722.46
  6. Step 6: Final answer
    x = 622.61

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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.