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Finding the Fourth Proportional to 996.62, 1,495.74 and 722.84

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Solution

The fourth proportional to 996.62, 1,495.74 and 722.84 is: 1,084.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.62 : 1,495.74 = 722.84 : x
  2. Step 2: Convert to fraction form
    996.62/1,495.74 = 722.84/x
  3. Step 3: Cross multiply
    996.62x = 1,495.74 × 722.84
  4. Step 4: Simplify right side
    996.62x = 1,081,180.70
  5. Step 5: Solve for x
    x = 1,081,180.70/996.62
  6. Step 6: Final answer
    x = 1,084.85

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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.