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Finding the Fourth Proportional to 1,067.79, 1,601.90 and 451.49

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Solution

The fourth proportional to 1,067.79, 1,601.90 and 451.49 is: 677.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.79 : 1,601.90 = 451.49 : x
  2. Step 2: Convert to fraction form
    1,067.79/1,601.90 = 451.49/x
  3. Step 3: Cross multiply
    1,067.79x = 1,601.90 × 451.49
  4. Step 4: Simplify right side
    1,067.79x = 723,239.57
  5. Step 5: Solve for x
    x = 723,239.57/1,067.79
  6. Step 6: Final answer
    x = 677.32

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Double scale
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1.5x scale

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.