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Finding the Fourth Proportional to 722.62, 1,085.23 and 376.19

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Solution

The fourth proportional to 722.62, 1,085.23 and 376.19 is: 564.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.62 : 1,085.23 = 376.19 : x
  2. Step 2: Convert to fraction form
    722.62/1,085.23 = 376.19/x
  3. Step 3: Cross multiply
    722.62x = 1,085.23 × 376.19
  4. Step 4: Simplify right side
    722.62x = 408,252.67
  5. Step 5: Solve for x
    x = 408,252.67/722.62
  6. Step 6: Final answer
    x = 564.96

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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.