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Finding the Fourth Proportional to 941.05, 1,297.37 and 626.33

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Solution

The fourth proportional to 941.05, 1,297.37 and 626.33 is: 863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.05 : 1,297.37 = 626.33 : x
  2. Step 2: Convert to fraction form
    941.05/1,297.37 = 626.33/x
  3. Step 3: Cross multiply
    941.05x = 1,297.37 × 626.33
  4. Step 4: Simplify right side
    941.05x = 812,586.56
  5. Step 5: Solve for x
    x = 812,586.56/941.05
  6. Step 6: Final answer
    x = 863.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.