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Finding the Fourth Proportional to 414.01, 619.35 and 388.09

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Solution

The fourth proportional to 414.01, 619.35 and 388.09 is: 580.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.01 : 619.35 = 388.09 : x
  2. Step 2: Convert to fraction form
    414.01/619.35 = 388.09/x
  3. Step 3: Cross multiply
    414.01x = 619.35 × 388.09
  4. Step 4: Simplify right side
    414.01x = 240,362.86
  5. Step 5: Solve for x
    x = 240,362.86/414.01
  6. Step 6: Final answer
    x = 580.57

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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.