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Finding the Fourth Proportional to 514.56, 768.10 and 477.43

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Solution

The fourth proportional to 514.56, 768.10 and 477.43 is: 712.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 768.10 = 477.43 : x
  2. Step 2: Convert to fraction form
    514.56/768.10 = 477.43/x
  3. Step 3: Cross multiply
    514.56x = 768.10 × 477.43
  4. Step 4: Simplify right side
    514.56x = 366,713.98
  5. Step 5: Solve for x
    x = 366,713.98/514.56
  6. Step 6: Final answer
    x = 712.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.