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Finding the Fourth Proportional to 414.96, 619.66 and 393.90

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Solution

The fourth proportional to 414.96, 619.66 and 393.90 is: 588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.96 : 619.66 = 393.90 : x
  2. Step 2: Convert to fraction form
    414.96/619.66 = 393.90/x
  3. Step 3: Cross multiply
    414.96x = 619.66 × 393.90
  4. Step 4: Simplify right side
    414.96x = 244,084.07
  5. Step 5: Solve for x
    x = 244,084.07/414.96
  6. Step 6: Final answer
    x = 588.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.