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Finding the Fourth Proportional to 1,984.51, 2,976.54 and 503.73

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Solution

The fourth proportional to 1,984.51, 2,976.54 and 503.73 is: 755.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.51 : 2,976.54 = 503.73 : x
  2. Step 2: Convert to fraction form
    1,984.51/2,976.54 = 503.73/x
  3. Step 3: Cross multiply
    1,984.51x = 2,976.54 × 503.73
  4. Step 4: Simplify right side
    1,984.51x = 1,499,372.49
  5. Step 5: Solve for x
    x = 1,499,372.49/1,984.51
  6. Step 6: Final answer
    x = 755.54

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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.