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Finding the Fourth Proportional to 1,845.30, 2,768.45 and 805.53

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Solution

The fourth proportional to 1,845.30, 2,768.45 and 805.53 is: 1,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.30 : 2,768.45 = 805.53 : x
  2. Step 2: Convert to fraction form
    1,845.30/2,768.45 = 805.53/x
  3. Step 3: Cross multiply
    1,845.30x = 2,768.45 × 805.53
  4. Step 4: Simplify right side
    1,845.30x = 2,230,065.50
  5. Step 5: Solve for x
    x = 2,230,065.50/1,845.30
  6. Step 6: Final answer
    x = 1,208.51

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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.