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Finding the Fourth Proportional to 449.62, 620.70 and 309.76

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Solution

The fourth proportional to 449.62, 620.70 and 309.76 is: 427.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.62 : 620.70 = 309.76 : x
  2. Step 2: Convert to fraction form
    449.62/620.70 = 309.76/x
  3. Step 3: Cross multiply
    449.62x = 620.70 × 309.76
  4. Step 4: Simplify right side
    449.62x = 192,268.03
  5. Step 5: Solve for x
    x = 192,268.03/449.62
  6. Step 6: Final answer
    x = 427.62

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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.