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Finding the Fourth Proportional to 480.57, 663.60 and 455.97

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Solution

The fourth proportional to 480.57, 663.60 and 455.97 is: 629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.57 : 663.60 = 455.97 : x
  2. Step 2: Convert to fraction form
    480.57/663.60 = 455.97/x
  3. Step 3: Cross multiply
    480.57x = 663.60 × 455.97
  4. Step 4: Simplify right side
    480.57x = 302,581.69
  5. Step 5: Solve for x
    x = 302,581.69/480.57
  6. Step 6: Final answer
    x = 629.63

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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.