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Finding the Fourth Proportional to 458.48, 687.96 and 331.28

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Solution

The fourth proportional to 458.48, 687.96 and 331.28 is: 497.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.48 : 687.96 = 331.28 : x
  2. Step 2: Convert to fraction form
    458.48/687.96 = 331.28/x
  3. Step 3: Cross multiply
    458.48x = 687.96 × 331.28
  4. Step 4: Simplify right side
    458.48x = 227,907.39
  5. Step 5: Solve for x
    x = 227,907.39/458.48
  6. Step 6: Final answer
    x = 497.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.