Home / 1,231.21-1,846.27-582.13

Finding the Fourth Proportional to 1,231.21, 1,846.27 and 582.13

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Solution

The fourth proportional to 1,231.21, 1,846.27 and 582.13 is: 872.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.21 : 1,846.27 = 582.13 : x
  2. Step 2: Convert to fraction form
    1,231.21/1,846.27 = 582.13/x
  3. Step 3: Cross multiply
    1,231.21x = 1,846.27 × 582.13
  4. Step 4: Simplify right side
    1,231.21x = 1,074,769.16
  5. Step 5: Solve for x
    x = 1,074,769.16/1,231.21
  6. Step 6: Final answer
    x = 872.94

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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.