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Finding the Fourth Proportional to 1,313.62, 1,964.62 and 1,168.39

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Solution

The fourth proportional to 1,313.62, 1,964.62 and 1,168.39 is: 1,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.62 : 1,964.62 = 1,168.39 : x
  2. Step 2: Convert to fraction form
    1,313.62/1,964.62 = 1,168.39/x
  3. Step 3: Cross multiply
    1,313.62x = 1,964.62 × 1,168.39
  4. Step 4: Simplify right side
    1,313.62x = 2,295,446.28
  5. Step 5: Solve for x
    x = 2,295,446.28/1,313.62
  6. Step 6: Final answer
    x = 1,747.42

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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.