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Finding the Fourth Proportional to 481.74, 662.34 and 392.10

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Solution

The fourth proportional to 481.74, 662.34 and 392.10 is: 539.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.74 : 662.34 = 392.10 : x
  2. Step 2: Convert to fraction form
    481.74/662.34 = 392.10/x
  3. Step 3: Cross multiply
    481.74x = 662.34 × 392.10
  4. Step 4: Simplify right side
    481.74x = 259,703.51
  5. Step 5: Solve for x
    x = 259,703.51/481.74
  6. Step 6: Final answer
    x = 539.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.