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Finding the Fourth Proportional to 489.54, 676.11 and 380.33

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Solution

The fourth proportional to 489.54, 676.11 and 380.33 is: 525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.54 : 676.11 = 380.33 : x
  2. Step 2: Convert to fraction form
    489.54/676.11 = 380.33/x
  3. Step 3: Cross multiply
    489.54x = 676.11 × 380.33
  4. Step 4: Simplify right side
    489.54x = 257,141.54
  5. Step 5: Solve for x
    x = 257,141.54/489.54
  6. Step 6: Final answer
    x = 525.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.