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Finding the Fourth Proportional to 1,115.37, 1,673.06 and 682.43

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Solution

The fourth proportional to 1,115.37, 1,673.06 and 682.43 is: 1,023.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.37 : 1,673.06 = 682.43 : x
  2. Step 2: Convert to fraction form
    1,115.37/1,673.06 = 682.43/x
  3. Step 3: Cross multiply
    1,115.37x = 1,673.06 × 682.43
  4. Step 4: Simplify right side
    1,115.37x = 1,141,734.56
  5. Step 5: Solve for x
    x = 1,141,734.56/1,115.37
  6. Step 6: Final answer
    x = 1,023.64

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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.