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Finding the Fourth Proportional to 1,774.41, 2,661.74 and 541.73

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Solution

The fourth proportional to 1,774.41, 2,661.74 and 541.73 is: 812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.41 : 2,661.74 = 541.73 : x
  2. Step 2: Convert to fraction form
    1,774.41/2,661.74 = 541.73/x
  3. Step 3: Cross multiply
    1,774.41x = 2,661.74 × 541.73
  4. Step 4: Simplify right side
    1,774.41x = 1,441,928.39
  5. Step 5: Solve for x
    x = 1,441,928.39/1,774.41
  6. Step 6: Final answer
    x = 812.62

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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.