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Finding the Fourth Proportional to 1,283.69, 1,925.54 and 1,067.42

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Solution

The fourth proportional to 1,283.69, 1,925.54 and 1,067.42 is: 1,601.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.69 : 1,925.54 = 1,067.42 : x
  2. Step 2: Convert to fraction form
    1,283.69/1,925.54 = 1,067.42/x
  3. Step 3: Cross multiply
    1,283.69x = 1,925.54 × 1,067.42
  4. Step 4: Simplify right side
    1,283.69x = 2,055,359.91
  5. Step 5: Solve for x
    x = 2,055,359.91/1,283.69
  6. Step 6: Final answer
    x = 1,601.13

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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.