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Finding the Fourth Proportional to 482.21, 665.16 and 449.81

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Solution

The fourth proportional to 482.21, 665.16 and 449.81 is: 620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.21 : 665.16 = 449.81 : x
  2. Step 2: Convert to fraction form
    482.21/665.16 = 449.81/x
  3. Step 3: Cross multiply
    482.21x = 665.16 × 449.81
  4. Step 4: Simplify right side
    482.21x = 299,192.29
  5. Step 5: Solve for x
    x = 299,192.29/482.21
  6. Step 6: Final answer
    x = 620.47

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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.