Home / 1,828.74-2,743.10-442.07

Finding the Fourth Proportional to 1,828.74, 2,743.10 and 442.07

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Solution

The fourth proportional to 1,828.74, 2,743.10 and 442.07 is: 663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,828.74 : 2,743.10 = 442.07 : x
  2. Step 2: Convert to fraction form
    1,828.74/2,743.10 = 442.07/x
  3. Step 3: Cross multiply
    1,828.74x = 2,743.10 × 442.07
  4. Step 4: Simplify right side
    1,828.74x = 1,212,626.29
  5. Step 5: Solve for x
    x = 1,212,626.29/1,828.74
  6. Step 6: Final answer
    x = 663.09

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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.