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Finding the Fourth Proportional to 939.83, 1,297.24 and 608.24

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Solution

The fourth proportional to 939.83, 1,297.24 and 608.24 is: 839.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    939.83 : 1,297.24 = 608.24 : x
  2. Step 2: Convert to fraction form
    939.83/1,297.24 = 608.24/x
  3. Step 3: Cross multiply
    939.83x = 1,297.24 × 608.24
  4. Step 4: Simplify right side
    939.83x = 789,034.98
  5. Step 5: Solve for x
    x = 789,034.98/939.83
  6. Step 6: Final answer
    x = 839.56

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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.