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Finding the Fourth Proportional to 855.33, 1,172.65 and 839.76

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Solution

The fourth proportional to 855.33, 1,172.65 and 839.76 is: 1,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.33 : 1,172.65 = 839.76 : x
  2. Step 2: Convert to fraction form
    855.33/1,172.65 = 839.76/x
  3. Step 3: Cross multiply
    855.33x = 1,172.65 × 839.76
  4. Step 4: Simplify right side
    855.33x = 984,744.56
  5. Step 5: Solve for x
    x = 984,744.56/855.33
  6. Step 6: Final answer
    x = 1,151.30

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.