Home / 1,054.29-1,581.62-323.85

Finding the Fourth Proportional to 1,054.29, 1,581.62 and 323.85

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Solution

The fourth proportional to 1,054.29, 1,581.62 and 323.85 is: 485.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.29 : 1,581.62 = 323.85 : x
  2. Step 2: Convert to fraction form
    1,054.29/1,581.62 = 323.85/x
  3. Step 3: Cross multiply
    1,054.29x = 1,581.62 × 323.85
  4. Step 4: Simplify right side
    1,054.29x = 512,206.02
  5. Step 5: Solve for x
    x = 512,206.02/1,054.29
  6. Step 6: Final answer
    x = 485.83

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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.