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Finding the Fourth Proportional to 1,093.34, 1,640.01 and 323.78

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Solution

The fourth proportional to 1,093.34, 1,640.01 and 323.78 is: 485.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.34 : 1,640.01 = 323.78 : x
  2. Step 2: Convert to fraction form
    1,093.34/1,640.01 = 323.78/x
  3. Step 3: Cross multiply
    1,093.34x = 1,640.01 × 323.78
  4. Step 4: Simplify right side
    1,093.34x = 531,002.44
  5. Step 5: Solve for x
    x = 531,002.44/1,093.34
  6. Step 6: Final answer
    x = 485.67

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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.