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Finding the Fourth Proportional to 559.20, 771.64 and 338.16

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Solution

The fourth proportional to 559.20, 771.64 and 338.16 is: 466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.20 : 771.64 = 338.16 : x
  2. Step 2: Convert to fraction form
    559.20/771.64 = 338.16/x
  3. Step 3: Cross multiply
    559.20x = 771.64 × 338.16
  4. Step 4: Simplify right side
    559.20x = 260,937.78
  5. Step 5: Solve for x
    x = 260,937.78/559.20
  6. Step 6: Final answer
    x = 466.63

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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.