Home / 1,723.27-2,584.95-490.54

Finding the Fourth Proportional to 1,723.27, 2,584.95 and 490.54

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Solution

The fourth proportional to 1,723.27, 2,584.95 and 490.54 is: 735.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,723.27 : 2,584.95 = 490.54 : x
  2. Step 2: Convert to fraction form
    1,723.27/2,584.95 = 490.54/x
  3. Step 3: Cross multiply
    1,723.27x = 2,584.95 × 490.54
  4. Step 4: Simplify right side
    1,723.27x = 1,268,021.37
  5. Step 5: Solve for x
    x = 1,268,021.37/1,723.27
  6. Step 6: Final answer
    x = 735.82

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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.