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Finding the Fourth Proportional to 1,983.57, 2,975.67 and 685.14

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Solution

The fourth proportional to 1,983.57, 2,975.67 and 685.14 is: 1,027.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.57 : 2,975.67 = 685.14 : x
  2. Step 2: Convert to fraction form
    1,983.57/2,975.67 = 685.14/x
  3. Step 3: Cross multiply
    1,983.57x = 2,975.67 × 685.14
  4. Step 4: Simplify right side
    1,983.57x = 2,038,750.54
  5. Step 5: Solve for x
    x = 2,038,750.54/1,983.57
  6. Step 6: Final answer
    x = 1,027.82

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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.