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Finding the Fourth Proportional to 1,067.42, 1,593.49 and 991.28

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Solution

The fourth proportional to 1,067.42, 1,593.49 and 991.28 is: 1,479.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.42 : 1,593.49 = 991.28 : x
  2. Step 2: Convert to fraction form
    1,067.42/1,593.49 = 991.28/x
  3. Step 3: Cross multiply
    1,067.42x = 1,593.49 × 991.28
  4. Step 4: Simplify right side
    1,067.42x = 1,579,588.04
  5. Step 5: Solve for x
    x = 1,579,588.04/1,067.42
  6. Step 6: Final answer
    x = 1,479.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.