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Finding the Fourth Proportional to 1,082.06, 1,623.62 and 671.09

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Solution

The fourth proportional to 1,082.06, 1,623.62 and 671.09 is: 1,006.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.06 : 1,623.62 = 671.09 : x
  2. Step 2: Convert to fraction form
    1,082.06/1,623.62 = 671.09/x
  3. Step 3: Cross multiply
    1,082.06x = 1,623.62 × 671.09
  4. Step 4: Simplify right side
    1,082.06x = 1,089,595.15
  5. Step 5: Solve for x
    x = 1,089,595.15/1,082.06
  6. Step 6: Final answer
    x = 1,006.96

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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.