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Finding the Fourth Proportional to 1,984.96, 2,976.54 and 686.56

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Solution

The fourth proportional to 1,984.96, 2,976.54 and 686.56 is: 1,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984.96 : 2,976.54 = 686.56 : x
  2. Step 2: Convert to fraction form
    1,984.96/2,976.54 = 686.56/x
  3. Step 3: Cross multiply
    1,984.96x = 2,976.54 × 686.56
  4. Step 4: Simplify right side
    1,984.96x = 2,043,573.30
  5. Step 5: Solve for x
    x = 2,043,573.30/1,984.96
  6. Step 6: Final answer
    x = 1,029.53

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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.