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Finding the Fourth Proportional to 1,984.23, 2,976.64 and 523.49

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Solution

The fourth proportional to 1,984.23, 2,976.64 and 523.49 is: 785.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.23 : 2,976.64 = 523.49 : x
  2. Step 2: Convert to fraction form
    1,984.23/2,976.64 = 523.49/x
  3. Step 3: Cross multiply
    1,984.23x = 2,976.64 × 523.49
  4. Step 4: Simplify right side
    1,984.23x = 1,558,241.27
  5. Step 5: Solve for x
    x = 1,558,241.27/1,984.23
  6. Step 6: Final answer
    x = 785.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.