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Finding the Fourth Proportional to 475.45, 712.97 and 280.84

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Solution

The fourth proportional to 475.45, 712.97 and 280.84 is: 421.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.45 : 712.97 = 280.84 : x
  2. Step 2: Convert to fraction form
    475.45/712.97 = 280.84/x
  3. Step 3: Cross multiply
    475.45x = 712.97 × 280.84
  4. Step 4: Simplify right side
    475.45x = 200,230.49
  5. Step 5: Solve for x
    x = 200,230.49/475.45
  6. Step 6: Final answer
    x = 421.14

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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.