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Finding the Fourth Proportional to 559.23, 771.24 and 382.11

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Solution

The fourth proportional to 559.23, 771.24 and 382.11 is: 526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.23 : 771.24 = 382.11 : x
  2. Step 2: Convert to fraction form
    559.23/771.24 = 382.11/x
  3. Step 3: Cross multiply
    559.23x = 771.24 × 382.11
  4. Step 4: Simplify right side
    559.23x = 294,698.52
  5. Step 5: Solve for x
    x = 294,698.52/559.23
  6. Step 6: Final answer
    x = 526.97

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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.