Home / 1,231.24-1,845.30-500.40

Finding the Fourth Proportional to 1,231.24, 1,845.30 and 500.40

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Solution

The fourth proportional to 1,231.24, 1,845.30 and 500.40 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.24 : 1,845.30 = 500.40 : x
  2. Step 2: Convert to fraction form
    1,231.24/1,845.30 = 500.40/x
  3. Step 3: Cross multiply
    1,231.24x = 1,845.30 × 500.40
  4. Step 4: Simplify right side
    1,231.24x = 923,388.12
  5. Step 5: Solve for x
    x = 923,388.12/1,231.24
  6. Step 6: Final answer
    x = 749.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.