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Finding the Fourth Proportional to 518.23, 775.74 and 444.42

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Solution

The fourth proportional to 518.23, 775.74 and 444.42 is: 665.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.23 : 775.74 = 444.42 : x
  2. Step 2: Convert to fraction form
    518.23/775.74 = 444.42/x
  3. Step 3: Cross multiply
    518.23x = 775.74 × 444.42
  4. Step 4: Simplify right side
    518.23x = 344,754.37
  5. Step 5: Solve for x
    x = 344,754.37/518.23
  6. Step 6: Final answer
    x = 665.25

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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.