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Finding the Fourth Proportional to 1,375.97, 2,063.34 and 645.75

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Solution

The fourth proportional to 1,375.97, 2,063.34 and 645.75 is: 968.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.97 : 2,063.34 = 645.75 : x
  2. Step 2: Convert to fraction form
    1,375.97/2,063.34 = 645.75/x
  3. Step 3: Cross multiply
    1,375.97x = 2,063.34 × 645.75
  4. Step 4: Simplify right side
    1,375.97x = 1,332,401.81
  5. Step 5: Solve for x
    x = 1,332,401.81/1,375.97
  6. Step 6: Final answer
    x = 968.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.