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Finding the Fourth Proportional to 1,321.05, 1,975.64 and 1,175.66

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Solution

The fourth proportional to 1,321.05, 1,975.64 and 1,175.66 is: 1,758.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.05 : 1,975.64 = 1,175.66 : x
  2. Step 2: Convert to fraction form
    1,321.05/1,975.64 = 1,175.66/x
  3. Step 3: Cross multiply
    1,321.05x = 1,975.64 × 1,175.66
  4. Step 4: Simplify right side
    1,321.05x = 2,322,665.17
  5. Step 5: Solve for x
    x = 2,322,665.17/1,321.05
  6. Step 6: Final answer
    x = 1,758.20

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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.