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Finding the Fourth Proportional to 481.65, 665.33 and 429.41

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Solution

The fourth proportional to 481.65, 665.33 and 429.41 is: 593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    481.65 : 665.33 = 429.41 : x
  2. Step 2: Convert to fraction form
    481.65/665.33 = 429.41/x
  3. Step 3: Cross multiply
    481.65x = 665.33 × 429.41
  4. Step 4: Simplify right side
    481.65x = 285,693.88
  5. Step 5: Solve for x
    x = 285,693.88/481.65
  6. Step 6: Final answer
    x = 593.16

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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.