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Finding the Fourth Proportional to 1,067.79, 1,601.67 and 418.06

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Solution

The fourth proportional to 1,067.79, 1,601.67 and 418.06 is: 627.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.79 : 1,601.67 = 418.06 : x
  2. Step 2: Convert to fraction form
    1,067.79/1,601.67 = 418.06/x
  3. Step 3: Cross multiply
    1,067.79x = 1,601.67 × 418.06
  4. Step 4: Simplify right side
    1,067.79x = 669,594.16
  5. Step 5: Solve for x
    x = 669,594.16/1,067.79
  6. Step 6: Final answer
    x = 627.08

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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.