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Finding the Fourth Proportional to 508.89, 764.36 and 494.54

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Solution

The fourth proportional to 508.89, 764.36 and 494.54 is: 742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.89 : 764.36 = 494.54 : x
  2. Step 2: Convert to fraction form
    508.89/764.36 = 494.54/x
  3. Step 3: Cross multiply
    508.89x = 764.36 × 494.54
  4. Step 4: Simplify right side
    508.89x = 378,007.80
  5. Step 5: Solve for x
    x = 378,007.80/508.89
  6. Step 6: Final answer
    x = 742.80

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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.