Home / 1,211.20-1,816.96-389.20

Finding the Fourth Proportional to 1,211.20, 1,816.96 and 389.20

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Solution

The fourth proportional to 1,211.20, 1,816.96 and 389.20 is: 583.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.20 : 1,816.96 = 389.20 : x
  2. Step 2: Convert to fraction form
    1,211.20/1,816.96 = 389.20/x
  3. Step 3: Cross multiply
    1,211.20x = 1,816.96 × 389.20
  4. Step 4: Simplify right side
    1,211.20x = 707,160.83
  5. Step 5: Solve for x
    x = 707,160.83/1,211.20
  6. Step 6: Final answer
    x = 583.85

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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.