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Finding the Fourth Proportional to 486.56, 670.74 and 338.78

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Solution

The fourth proportional to 486.56, 670.74 and 338.78 is: 467.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.56 : 670.74 = 338.78 : x
  2. Step 2: Convert to fraction form
    486.56/670.74 = 338.78/x
  3. Step 3: Cross multiply
    486.56x = 670.74 × 338.78
  4. Step 4: Simplify right side
    486.56x = 227,233.30
  5. Step 5: Solve for x
    x = 227,233.30/486.56
  6. Step 6: Final answer
    x = 467.02

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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.