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Finding the Fourth Proportional to 414.43, 619.80 and 310.57

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Solution

The fourth proportional to 414.43, 619.80 and 310.57 is: 464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.43 : 619.80 = 310.57 : x
  2. Step 2: Convert to fraction form
    414.43/619.80 = 310.57/x
  3. Step 3: Cross multiply
    414.43x = 619.80 × 310.57
  4. Step 4: Simplify right side
    414.43x = 192,491.29
  5. Step 5: Solve for x
    x = 192,491.29/414.43
  6. Step 6: Final answer
    x = 464.47

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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.