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Finding the Fourth Proportional to 1,230.41, 1,846.38 and 711.44

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Solution

The fourth proportional to 1,230.41, 1,846.38 and 711.44 is: 1,067.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,230.41 : 1,846.38 = 711.44 : x
  2. Step 2: Convert to fraction form
    1,230.41/1,846.38 = 711.44/x
  3. Step 3: Cross multiply
    1,230.41x = 1,846.38 × 711.44
  4. Step 4: Simplify right side
    1,230.41x = 1,313,585.03
  5. Step 5: Solve for x
    x = 1,313,585.03/1,230.41
  6. Step 6: Final answer
    x = 1,067.60

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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.