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Finding the Fourth Proportional to 940, 1,296.90 and 608.68

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Solution

The fourth proportional to 940, 1,296.90 and 608.68 is: 839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    940 : 1,296.90 = 608.68 : x
  2. Step 2: Convert to fraction form
    940/1,296.90 = 608.68/x
  3. Step 3: Cross multiply
    940x = 1,296.90 × 608.68
  4. Step 4: Simplify right side
    940x = 789,397.09
  5. Step 5: Solve for x
    x = 789,397.09/940
  6. Step 6: Final answer
    x = 839.78

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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.