Home / 1,293.09-1,939.60-319.20

Finding the Fourth Proportional to 1,293.09, 1,939.60 and 319.20

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Solution

The fourth proportional to 1,293.09, 1,939.60 and 319.20 is: 478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.09 : 1,939.60 = 319.20 : x
  2. Step 2: Convert to fraction form
    1,293.09/1,939.60 = 319.20/x
  3. Step 3: Cross multiply
    1,293.09x = 1,939.60 × 319.20
  4. Step 4: Simplify right side
    1,293.09x = 619,109.03
  5. Step 5: Solve for x
    x = 619,109.03/1,293.09
  6. Step 6: Final answer
    x = 478.78

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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.