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Finding the Fourth Proportional to 489.78, 737.79 and 441.68

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Solution

The fourth proportional to 489.78, 737.79 and 441.68 is: 665.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.78 : 737.79 = 441.68 : x
  2. Step 2: Convert to fraction form
    489.78/737.79 = 441.68/x
  3. Step 3: Cross multiply
    489.78x = 737.79 × 441.68
  4. Step 4: Simplify right side
    489.78x = 325,864.88
  5. Step 5: Solve for x
    x = 325,864.88/489.78
  6. Step 6: Final answer
    x = 665.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.