Home / 1,219.42-1,828.68-439.21

Finding the Fourth Proportional to 1,219.42, 1,828.68 and 439.21

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Solution

The fourth proportional to 1,219.42, 1,828.68 and 439.21 is: 658.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.42 : 1,828.68 = 439.21 : x
  2. Step 2: Convert to fraction form
    1,219.42/1,828.68 = 439.21/x
  3. Step 3: Cross multiply
    1,219.42x = 1,828.68 × 439.21
  4. Step 4: Simplify right side
    1,219.42x = 803,172.35
  5. Step 5: Solve for x
    x = 803,172.35/1,219.42
  6. Step 6: Final answer
    x = 658.65

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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.