Home / 1,231.04-1,846.37-409.32

Finding the Fourth Proportional to 1,231.04, 1,846.37 and 409.32

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Solution

The fourth proportional to 1,231.04, 1,846.37 and 409.32 is: 613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.04 : 1,846.37 = 409.32 : x
  2. Step 2: Convert to fraction form
    1,231.04/1,846.37 = 409.32/x
  3. Step 3: Cross multiply
    1,231.04x = 1,846.37 × 409.32
  4. Step 4: Simplify right side
    1,231.04x = 755,754.12
  5. Step 5: Solve for x
    x = 755,754.12/1,231.04
  6. Step 6: Final answer
    x = 613.92

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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.