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Finding the Fourth Proportional to 508.31, 764.22 and 444.59

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Solution

The fourth proportional to 508.31, 764.22 and 444.59 is: 668.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.31 : 764.22 = 444.59 : x
  2. Step 2: Convert to fraction form
    508.31/764.22 = 444.59/x
  3. Step 3: Cross multiply
    508.31x = 764.22 × 444.59
  4. Step 4: Simplify right side
    508.31x = 339,764.57
  5. Step 5: Solve for x
    x = 339,764.57/508.31
  6. Step 6: Final answer
    x = 668.42

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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.