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Finding the Fourth Proportional to 489.49, 737.67 and 440.80

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Solution

The fourth proportional to 489.49, 737.67 and 440.80 is: 664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.49 : 737.67 = 440.80 : x
  2. Step 2: Convert to fraction form
    489.49/737.67 = 440.80/x
  3. Step 3: Cross multiply
    489.49x = 737.67 × 440.80
  4. Step 4: Simplify right side
    489.49x = 325,161.25
  5. Step 5: Solve for x
    x = 325,161.25/489.49
  6. Step 6: Final answer
    x = 664.29

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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.