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Finding the Fourth Proportional to 940, 1,297.02 and 608.38

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Solution

The fourth proportional to 940, 1,297.02 and 608.38 is: 839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    940 : 1,297.02 = 608.38 : x
  2. Step 2: Convert to fraction form
    940/1,297.02 = 608.38/x
  3. Step 3: Cross multiply
    940x = 1,297.02 × 608.38
  4. Step 4: Simplify right side
    940x = 789,081.03
  5. Step 5: Solve for x
    x = 789,081.03/940
  6. Step 6: Final answer
    x = 839.45

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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.