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Finding the Fourth Proportional to 1,175.66, 1,761.96 and 481.53

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Solution

The fourth proportional to 1,175.66, 1,761.96 and 481.53 is: 721.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.66 : 1,761.96 = 481.53 : x
  2. Step 2: Convert to fraction form
    1,175.66/1,761.96 = 481.53/x
  3. Step 3: Cross multiply
    1,175.66x = 1,761.96 × 481.53
  4. Step 4: Simplify right side
    1,175.66x = 848,436.60
  5. Step 5: Solve for x
    x = 848,436.60/1,175.66
  6. Step 6: Final answer
    x = 721.67

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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.