Home / 1,054.27-1,581.33-323.78

Finding the Fourth Proportional to 1,054.27, 1,581.33 and 323.78

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Solution

The fourth proportional to 1,054.27, 1,581.33 and 323.78 is: 485.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.27 : 1,581.33 = 323.78 : x
  2. Step 2: Convert to fraction form
    1,054.27/1,581.33 = 323.78/x
  3. Step 3: Cross multiply
    1,054.27x = 1,581.33 × 323.78
  4. Step 4: Simplify right side
    1,054.27x = 512,003.03
  5. Step 5: Solve for x
    x = 512,003.03/1,054.27
  6. Step 6: Final answer
    x = 485.65

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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.