Home / 1,231.15-1,846.47-409.18

Finding the Fourth Proportional to 1,231.15, 1,846.47 and 409.18

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Solution

The fourth proportional to 1,231.15, 1,846.47 and 409.18 is: 613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.15 : 1,846.47 = 409.18 : x
  2. Step 2: Convert to fraction form
    1,231.15/1,846.47 = 409.18/x
  3. Step 3: Cross multiply
    1,231.15x = 1,846.47 × 409.18
  4. Step 4: Simplify right side
    1,231.15x = 755,529.36
  5. Step 5: Solve for x
    x = 755,529.36/1,231.15
  6. Step 6: Final answer
    x = 613.68

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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.