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Finding the Fourth Proportional to 1,843.50, 2,765.25 and 544.95

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Solution

The fourth proportional to 1,843.50, 2,765.25 and 544.95 is: 817.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.50 : 2,765.25 = 544.95 : x
  2. Step 2: Convert to fraction form
    1,843.50/2,765.25 = 544.95/x
  3. Step 3: Cross multiply
    1,843.50x = 2,765.25 × 544.95
  4. Step 4: Simplify right side
    1,843.50x = 1,506,922.99
  5. Step 5: Solve for x
    x = 1,506,922.99/1,843.50
  6. Step 6: Final answer
    x = 817.43

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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.