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Finding the Fourth Proportional to 1,984.43, 2,976.80 and 523.55

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Solution

The fourth proportional to 1,984.43, 2,976.80 and 523.55 is: 785.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.43 : 2,976.80 = 523.55 : x
  2. Step 2: Convert to fraction form
    1,984.43/2,976.80 = 523.55/x
  3. Step 3: Cross multiply
    1,984.43x = 2,976.80 × 523.55
  4. Step 4: Simplify right side
    1,984.43x = 1,558,494.66
  5. Step 5: Solve for x
    x = 1,558,494.66/1,984.43
  6. Step 6: Final answer
    x = 785.36

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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.