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Finding the Fourth Proportional to 414.35, 568.08 and 407.97

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Solution

The fourth proportional to 414.35, 568.08 and 407.97 is: 559.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.35 : 568.08 = 407.97 : x
  2. Step 2: Convert to fraction form
    414.35/568.08 = 407.97/x
  3. Step 3: Cross multiply
    414.35x = 568.08 × 407.97
  4. Step 4: Simplify right side
    414.35x = 231,759.60
  5. Step 5: Solve for x
    x = 231,759.60/414.35
  6. Step 6: Final answer
    x = 559.33

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.