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Finding the Fourth Proportional to 414.93, 620.55 and 311.07

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Solution

The fourth proportional to 414.93, 620.55 and 311.07 is: 465.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.93 : 620.55 = 311.07 : x
  2. Step 2: Convert to fraction form
    414.93/620.55 = 311.07/x
  3. Step 3: Cross multiply
    414.93x = 620.55 × 311.07
  4. Step 4: Simplify right side
    414.93x = 193,034.49
  5. Step 5: Solve for x
    x = 193,034.49/414.93
  6. Step 6: Final answer
    x = 465.22

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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.