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Finding the Fourth Proportional to 984.80, 1,356 and 836.84

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Solution

The fourth proportional to 984.80, 1,356 and 836.84 is: 1,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.80 : 1,356 = 836.84 : x
  2. Step 2: Convert to fraction form
    984.80/1,356 = 836.84/x
  3. Step 3: Cross multiply
    984.80x = 1,356 × 836.84
  4. Step 4: Simplify right side
    984.80x = 1,134,755.04
  5. Step 5: Solve for x
    x = 1,134,755.04/984.80
  6. Step 6: Final answer
    x = 1,152.27

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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.