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Finding the Fourth Proportional to 559.79, 772.38 and 338.69

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Solution

The fourth proportional to 559.79, 772.38 and 338.69 is: 467.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    559.79 : 772.38 = 338.69 : x
  2. Step 2: Convert to fraction form
    559.79/772.38 = 338.69/x
  3. Step 3: Cross multiply
    559.79x = 772.38 × 338.69
  4. Step 4: Simplify right side
    559.79x = 261,597.38
  5. Step 5: Solve for x
    x = 261,597.38/559.79
  6. Step 6: Final answer
    x = 467.32

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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.