Home / 1,213.20-1,820.32-664.75

Finding the Fourth Proportional to 1,213.20, 1,820.32 and 664.75

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Solution

The fourth proportional to 1,213.20, 1,820.32 and 664.75 is: 997.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.20 : 1,820.32 = 664.75 : x
  2. Step 2: Convert to fraction form
    1,213.20/1,820.32 = 664.75/x
  3. Step 3: Cross multiply
    1,213.20x = 1,820.32 × 664.75
  4. Step 4: Simplify right side
    1,213.20x = 1,210,057.72
  5. Step 5: Solve for x
    x = 1,210,057.72/1,213.20
  6. Step 6: Final answer
    x = 997.41

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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.