Home / 1,218.58-1,826.31-524.41

Finding the Fourth Proportional to 1,218.58, 1,826.31 and 524.41

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Solution

The fourth proportional to 1,218.58, 1,826.31 and 524.41 is: 785.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.58 : 1,826.31 = 524.41 : x
  2. Step 2: Convert to fraction form
    1,218.58/1,826.31 = 524.41/x
  3. Step 3: Cross multiply
    1,218.58x = 1,826.31 × 524.41
  4. Step 4: Simplify right side
    1,218.58x = 957,732.63
  5. Step 5: Solve for x
    x = 957,732.63/1,218.58
  6. Step 6: Final answer
    x = 785.94

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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.