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Finding the Fourth Proportional to 456.48, 680.84 and 427.68

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Solution

The fourth proportional to 456.48, 680.84 and 427.68 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.48 : 680.84 = 427.68 : x
  2. Step 2: Convert to fraction form
    456.48/680.84 = 427.68/x
  3. Step 3: Cross multiply
    456.48x = 680.84 × 427.68
  4. Step 4: Simplify right side
    456.48x = 291,181.65
  5. Step 5: Solve for x
    x = 291,181.65/456.48
  6. Step 6: Final answer
    x = 637.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.