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Finding the Fourth Proportional to 1,093.44, 1,636.50 and 898.44

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Solution

The fourth proportional to 1,093.44, 1,636.50 and 898.44 is: 1,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.44 : 1,636.50 = 898.44 : x
  2. Step 2: Convert to fraction form
    1,093.44/1,636.50 = 898.44/x
  3. Step 3: Cross multiply
    1,093.44x = 1,636.50 × 898.44
  4. Step 4: Simplify right side
    1,093.44x = 1,470,297.06
  5. Step 5: Solve for x
    x = 1,470,297.06/1,093.44
  6. Step 6: Final answer
    x = 1,344.65

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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.