Home / 1,208.30-1,811.99-514.54

Finding the Fourth Proportional to 1,208.30, 1,811.99 and 514.54

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Solution

The fourth proportional to 1,208.30, 1,811.99 and 514.54 is: 771.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.30 : 1,811.99 = 514.54 : x
  2. Step 2: Convert to fraction form
    1,208.30/1,811.99 = 514.54/x
  3. Step 3: Cross multiply
    1,208.30x = 1,811.99 × 514.54
  4. Step 4: Simplify right side
    1,208.30x = 932,341.33
  5. Step 5: Solve for x
    x = 932,341.33/1,208.30
  6. Step 6: Final answer
    x = 771.61

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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.