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Finding the Fourth Proportional to 559.20, 771.84 and 443.28

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Solution

The fourth proportional to 559.20, 771.84 and 443.28 is: 611.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.20 : 771.84 = 443.28 : x
  2. Step 2: Convert to fraction form
    559.20/771.84 = 443.28/x
  3. Step 3: Cross multiply
    559.20x = 771.84 × 443.28
  4. Step 4: Simplify right side
    559.20x = 342,141.24
  5. Step 5: Solve for x
    x = 342,141.24/559.20
  6. Step 6: Final answer
    x = 611.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.