Home / 1,160.19-1,739.96-327.20

Finding the Fourth Proportional to 1,160.19, 1,739.96 and 327.20

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Solution

The fourth proportional to 1,160.19, 1,739.96 and 327.20 is: 490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.19 : 1,739.96 = 327.20 : x
  2. Step 2: Convert to fraction form
    1,160.19/1,739.96 = 327.20/x
  3. Step 3: Cross multiply
    1,160.19x = 1,739.96 × 327.20
  4. Step 4: Simplify right side
    1,160.19x = 569,305.80
  5. Step 5: Solve for x
    x = 569,305.80/1,160.19
  6. Step 6: Final answer
    x = 490.70

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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.