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Finding the Fourth Proportional to 804.73, 1,110.60 and 455.41

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Solution

The fourth proportional to 804.73, 1,110.60 and 455.41 is: 628.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.73 : 1,110.60 = 455.41 : x
  2. Step 2: Convert to fraction form
    804.73/1,110.60 = 455.41/x
  3. Step 3: Cross multiply
    804.73x = 1,110.60 × 455.41
  4. Step 4: Simplify right side
    804.73x = 505,778.35
  5. Step 5: Solve for x
    x = 505,778.35/804.73
  6. Step 6: Final answer
    x = 628.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.