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Finding the Fourth Proportional to 1,173.85, 1,760.97 and 443.49

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Solution

The fourth proportional to 1,173.85, 1,760.97 and 443.49 is: 665.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.85 : 1,760.97 = 443.49 : x
  2. Step 2: Convert to fraction form
    1,173.85/1,760.97 = 443.49/x
  3. Step 3: Cross multiply
    1,173.85x = 1,760.97 × 443.49
  4. Step 4: Simplify right side
    1,173.85x = 780,972.59
  5. Step 5: Solve for x
    x = 780,972.59/1,173.85
  6. Step 6: Final answer
    x = 665.31

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Double scale
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1.5x scale

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.