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Finding the Fourth Proportional to 411.75, 616.20 and 388.05

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Solution

The fourth proportional to 411.75, 616.20 and 388.05 is: 580.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 616.20 = 388.05 : x
  2. Step 2: Convert to fraction form
    411.75/616.20 = 388.05/x
  3. Step 3: Cross multiply
    411.75x = 616.20 × 388.05
  4. Step 4: Simplify right side
    411.75x = 239,116.41
  5. Step 5: Solve for x
    x = 239,116.41/411.75
  6. Step 6: Final answer
    x = 580.73

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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.