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Finding the Fourth Proportional to 518.31, 775.80 and 333.33

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Solution

The fourth proportional to 518.31, 775.80 and 333.33 is: 498.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.31 : 775.80 = 333.33 : x
  2. Step 2: Convert to fraction form
    518.31/775.80 = 333.33/x
  3. Step 3: Cross multiply
    518.31x = 775.80 × 333.33
  4. Step 4: Simplify right side
    518.31x = 258,597.41
  5. Step 5: Solve for x
    x = 258,597.41/518.31
  6. Step 6: Final answer
    x = 498.92

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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.