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Finding the Fourth Proportional to 804.64, 1,110.42 and 455.36

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Solution

The fourth proportional to 804.64, 1,110.42 and 455.36 is: 628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.64 : 1,110.42 = 455.36 : x
  2. Step 2: Convert to fraction form
    804.64/1,110.42 = 455.36/x
  3. Step 3: Cross multiply
    804.64x = 1,110.42 × 455.36
  4. Step 4: Simplify right side
    804.64x = 505,640.85
  5. Step 5: Solve for x
    x = 505,640.85/804.64
  6. Step 6: Final answer
    x = 628.41

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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.