Home / 1,231.52-1,846.08-409.37

Finding the Fourth Proportional to 1,231.52, 1,846.08 and 409.37

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Solution

The fourth proportional to 1,231.52, 1,846.08 and 409.37 is: 613.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.52 : 1,846.08 = 409.37 : x
  2. Step 2: Convert to fraction form
    1,231.52/1,846.08 = 409.37/x
  3. Step 3: Cross multiply
    1,231.52x = 1,846.08 × 409.37
  4. Step 4: Simplify right side
    1,231.52x = 755,729.77
  5. Step 5: Solve for x
    x = 755,729.77/1,231.52
  6. Step 6: Final answer
    x = 613.66

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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.