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Finding the Fourth Proportional to 1,067.63, 1,474.00 and 818.47

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Solution

The fourth proportional to 1,067.63, 1,474.00 and 818.47 is: 1,130.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.63 : 1,474.00 = 818.47 : x
  2. Step 2: Convert to fraction form
    1,067.63/1,474.00 = 818.47/x
  3. Step 3: Cross multiply
    1,067.63x = 1,474.00 × 818.47
  4. Step 4: Simplify right side
    1,067.63x = 1,206,424.58
  5. Step 5: Solve for x
    x = 1,206,424.58/1,067.63
  6. Step 6: Final answer
    x = 1,130.00

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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.