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Finding the Fourth Proportional to 414.57, 619.98 and 310.53

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Solution

The fourth proportional to 414.57, 619.98 and 310.53 is: 464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.57 : 619.98 = 310.53 : x
  2. Step 2: Convert to fraction form
    414.57/619.98 = 310.53/x
  3. Step 3: Cross multiply
    414.57x = 619.98 × 310.53
  4. Step 4: Simplify right side
    414.57x = 192,522.39
  5. Step 5: Solve for x
    x = 192,522.39/414.57
  6. Step 6: Final answer
    x = 464.39

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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.