Home / 1,218.20-1,826.40-524.30

Finding the Fourth Proportional to 1,218.20, 1,826.40 and 524.30

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Solution

The fourth proportional to 1,218.20, 1,826.40 and 524.30 is: 786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.20 : 1,826.40 = 524.30 : x
  2. Step 2: Convert to fraction form
    1,218.20/1,826.40 = 524.30/x
  3. Step 3: Cross multiply
    1,218.20x = 1,826.40 × 524.30
  4. Step 4: Simplify right side
    1,218.20x = 957,581.52
  5. Step 5: Solve for x
    x = 957,581.52/1,218.20
  6. Step 6: Final answer
    x = 786.06

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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.