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Finding the Fourth Proportional to 940.35, 1,297.49 and 608.73

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Solution

The fourth proportional to 940.35, 1,297.49 and 608.73 is: 839.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.35 : 1,297.49 = 608.73 : x
  2. Step 2: Convert to fraction form
    940.35/1,297.49 = 608.73/x
  3. Step 3: Cross multiply
    940.35x = 1,297.49 × 608.73
  4. Step 4: Simplify right side
    940.35x = 789,814.60
  5. Step 5: Solve for x
    x = 789,814.60/940.35
  6. Step 6: Final answer
    x = 839.92

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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.