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Finding the Fourth Proportional to 1,067.02, 1,474.77 and 804.58

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Solution

The fourth proportional to 1,067.02, 1,474.77 and 804.58 is: 1,112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.02 : 1,474.77 = 804.58 : x
  2. Step 2: Convert to fraction form
    1,067.02/1,474.77 = 804.58/x
  3. Step 3: Cross multiply
    1,067.02x = 1,474.77 × 804.58
  4. Step 4: Simplify right side
    1,067.02x = 1,186,570.45
  5. Step 5: Solve for x
    x = 1,186,570.45/1,067.02
  6. Step 6: Final answer
    x = 1,112.04

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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.