Home / 1,218.37-1,827.09-396.43

Finding the Fourth Proportional to 1,218.37, 1,827.09 and 396.43

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Solution

The fourth proportional to 1,218.37, 1,827.09 and 396.43 is: 594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.37 : 1,827.09 = 396.43 : x
  2. Step 2: Convert to fraction form
    1,218.37/1,827.09 = 396.43/x
  3. Step 3: Cross multiply
    1,218.37x = 1,827.09 × 396.43
  4. Step 4: Simplify right side
    1,218.37x = 724,313.29
  5. Step 5: Solve for x
    x = 724,313.29/1,218.37
  6. Step 6: Final answer
    x = 594.49

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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.