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Finding the Fourth Proportional to 1,216.56, 1,825.60 and 447.04

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Solution

The fourth proportional to 1,216.56, 1,825.60 and 447.04 is: 670.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.56 : 1,825.60 = 447.04 : x
  2. Step 2: Convert to fraction form
    1,216.56/1,825.60 = 447.04/x
  3. Step 3: Cross multiply
    1,216.56x = 1,825.60 × 447.04
  4. Step 4: Simplify right side
    1,216.56x = 816,116.22
  5. Step 5: Solve for x
    x = 816,116.22/1,216.56
  6. Step 6: Final answer
    x = 670.84

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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.