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Finding the Fourth Proportional to 1,185.90, 1,777.60 and 455.28

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Solution

The fourth proportional to 1,185.90, 1,777.60 and 455.28 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.90 : 1,777.60 = 455.28 : x
  2. Step 2: Convert to fraction form
    1,185.90/1,777.60 = 455.28/x
  3. Step 3: Cross multiply
    1,185.90x = 1,777.60 × 455.28
  4. Step 4: Simplify right side
    1,185.90x = 809,305.73
  5. Step 5: Solve for x
    x = 809,305.73/1,185.90
  6. Step 6: Final answer
    x = 682.44

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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.