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Finding the Fourth Proportional to 553.86, 763.92 and 354.78

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Solution

The fourth proportional to 553.86, 763.92 and 354.78 is: 489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    553.86 : 763.92 = 354.78 : x
  2. Step 2: Convert to fraction form
    553.86/763.92 = 354.78/x
  3. Step 3: Cross multiply
    553.86x = 763.92 × 354.78
  4. Step 4: Simplify right side
    553.86x = 271,023.54
  5. Step 5: Solve for x
    x = 271,023.54/553.86
  6. Step 6: Final answer
    x = 489.34

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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.