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Finding the Fourth Proportional to 414.63, 571.97 and 303.86

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Solution

The fourth proportional to 414.63, 571.97 and 303.86 is: 419.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.63 : 571.97 = 303.86 : x
  2. Step 2: Convert to fraction form
    414.63/571.97 = 303.86/x
  3. Step 3: Cross multiply
    414.63x = 571.97 × 303.86
  4. Step 4: Simplify right side
    414.63x = 173,794.43
  5. Step 5: Solve for x
    x = 173,794.43/414.63
  6. Step 6: Final answer
    x = 419.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.