Home / 1,314.28-1,971.37-327.07

Finding the Fourth Proportional to 1,314.28, 1,971.37 and 327.07

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Solution

The fourth proportional to 1,314.28, 1,971.37 and 327.07 is: 490.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.28 : 1,971.37 = 327.07 : x
  2. Step 2: Convert to fraction form
    1,314.28/1,971.37 = 327.07/x
  3. Step 3: Cross multiply
    1,314.28x = 1,971.37 × 327.07
  4. Step 4: Simplify right side
    1,314.28x = 644,775.99
  5. Step 5: Solve for x
    x = 644,775.99/1,314.28
  6. Step 6: Final answer
    x = 490.59

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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.