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Finding the Fourth Proportional to 483.56, 664.18 and 405.80

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Solution

The fourth proportional to 483.56, 664.18 and 405.80 is: 557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.56 : 664.18 = 405.80 : x
  2. Step 2: Convert to fraction form
    483.56/664.18 = 405.80/x
  3. Step 3: Cross multiply
    483.56x = 664.18 × 405.80
  4. Step 4: Simplify right side
    483.56x = 269,524.24
  5. Step 5: Solve for x
    x = 269,524.24/483.56
  6. Step 6: Final answer
    x = 557.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.