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Finding the Fourth Proportional to 449.76, 620.82 and 284.25

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Solution

The fourth proportional to 449.76, 620.82 and 284.25 is: 392.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.76 : 620.82 = 284.25 : x
  2. Step 2: Convert to fraction form
    449.76/620.82 = 284.25/x
  3. Step 3: Cross multiply
    449.76x = 620.82 × 284.25
  4. Step 4: Simplify right side
    449.76x = 176,468.09
  5. Step 5: Solve for x
    x = 176,468.09/449.76
  6. Step 6: Final answer
    x = 392.36

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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.