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Finding the Fourth Proportional to 484.36, 667.91 and 456.46

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Solution

The fourth proportional to 484.36, 667.91 and 456.46 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.36 : 667.91 = 456.46 : x
  2. Step 2: Convert to fraction form
    484.36/667.91 = 456.46/x
  3. Step 3: Cross multiply
    484.36x = 667.91 × 456.46
  4. Step 4: Simplify right side
    484.36x = 304,868.58
  5. Step 5: Solve for x
    x = 304,868.58/484.36
  6. Step 6: Final answer
    x = 629.43

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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.