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Finding the Fourth Proportional to 483.84, 727.20 and 388.80

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Solution

The fourth proportional to 483.84, 727.20 and 388.80 is: 584.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    483.84 : 727.20 = 388.80 : x
  2. Step 2: Convert to fraction form
    483.84/727.20 = 388.80/x
  3. Step 3: Cross multiply
    483.84x = 727.20 × 388.80
  4. Step 4: Simplify right side
    483.84x = 282,735.36
  5. Step 5: Solve for x
    x = 282,735.36/483.84
  6. Step 6: Final answer
    x = 584.36

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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.