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Finding the Fourth Proportional to 559.06, 771.53 and 338.05

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Solution

The fourth proportional to 559.06, 771.53 and 338.05 is: 466.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.06 : 771.53 = 338.05 : x
  2. Step 2: Convert to fraction form
    559.06/771.53 = 338.05/x
  3. Step 3: Cross multiply
    559.06x = 771.53 × 338.05
  4. Step 4: Simplify right side
    559.06x = 260,815.72
  5. Step 5: Solve for x
    x = 260,815.72/559.06
  6. Step 6: Final answer
    x = 466.53

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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.