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Finding the Fourth Proportional to 1,383.09, 2,074.75 and 561.44

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Solution

The fourth proportional to 1,383.09, 2,074.75 and 561.44 is: 842.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.09 : 2,074.75 = 561.44 : x
  2. Step 2: Convert to fraction form
    1,383.09/2,074.75 = 561.44/x
  3. Step 3: Cross multiply
    1,383.09x = 2,074.75 × 561.44
  4. Step 4: Simplify right side
    1,383.09x = 1,164,851.42
  5. Step 5: Solve for x
    x = 1,164,851.42/1,383.09
  6. Step 6: Final answer
    x = 842.21

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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.