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Finding the Fourth Proportional to 1,168.74, 1,749.47 and 993.78

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Solution

The fourth proportional to 1,168.74, 1,749.47 and 993.78 is: 1,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.74 : 1,749.47 = 993.78 : x
  2. Step 2: Convert to fraction form
    1,168.74/1,749.47 = 993.78/x
  3. Step 3: Cross multiply
    1,168.74x = 1,749.47 × 993.78
  4. Step 4: Simplify right side
    1,168.74x = 1,738,583.33
  5. Step 5: Solve for x
    x = 1,738,583.33/1,168.74
  6. Step 6: Final answer
    x = 1,487.57

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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.