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Finding the Fourth Proportional to 1,081.10, 1,618.68 and 820.33

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Solution

The fourth proportional to 1,081.10, 1,618.68 and 820.33 is: 1,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.10 : 1,618.68 = 820.33 : x
  2. Step 2: Convert to fraction form
    1,081.10/1,618.68 = 820.33/x
  3. Step 3: Cross multiply
    1,081.10x = 1,618.68 × 820.33
  4. Step 4: Simplify right side
    1,081.10x = 1,327,851.76
  5. Step 5: Solve for x
    x = 1,327,851.76/1,081.10
  6. Step 6: Final answer
    x = 1,228.24

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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.