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Finding the Fourth Proportional to 456.37, 629.60 and 318.45

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Solution

The fourth proportional to 456.37, 629.60 and 318.45 is: 439.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.37 : 629.60 = 318.45 : x
  2. Step 2: Convert to fraction form
    456.37/629.60 = 318.45/x
  3. Step 3: Cross multiply
    456.37x = 629.60 × 318.45
  4. Step 4: Simplify right side
    456.37x = 200,496.12
  5. Step 5: Solve for x
    x = 200,496.12/456.37
  6. Step 6: Final answer
    x = 439.33

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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.