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Finding the Fourth Proportional to 514.96, 773.45 and 441.80

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Solution

The fourth proportional to 514.96, 773.45 and 441.80 is: 663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.96 : 773.45 = 441.80 : x
  2. Step 2: Convert to fraction form
    514.96/773.45 = 441.80/x
  3. Step 3: Cross multiply
    514.96x = 773.45 × 441.80
  4. Step 4: Simplify right side
    514.96x = 341,713.04
  5. Step 5: Solve for x
    x = 341,713.04/514.96
  6. Step 6: Final answer
    x = 663.58

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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.