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Finding the Fourth Proportional to 449.54, 674.30 and 286.84

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Solution

The fourth proportional to 449.54, 674.30 and 286.84 is: 430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.54 : 674.30 = 286.84 : x
  2. Step 2: Convert to fraction form
    449.54/674.30 = 286.84/x
  3. Step 3: Cross multiply
    449.54x = 674.30 × 286.84
  4. Step 4: Simplify right side
    449.54x = 193,416.21
  5. Step 5: Solve for x
    x = 193,416.21/449.54
  6. Step 6: Final answer
    x = 430.25

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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.