Home / 1,829.24-2,743.84-442.56

Finding the Fourth Proportional to 1,829.24, 2,743.84 and 442.56

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Solution

The fourth proportional to 1,829.24, 2,743.84 and 442.56 is: 663.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.24 : 2,743.84 = 442.56 : x
  2. Step 2: Convert to fraction form
    1,829.24/2,743.84 = 442.56/x
  3. Step 3: Cross multiply
    1,829.24x = 2,743.84 × 442.56
  4. Step 4: Simplify right side
    1,829.24x = 1,214,313.83
  5. Step 5: Solve for x
    x = 1,214,313.83/1,829.24
  6. Step 6: Final answer
    x = 663.84

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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.