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Finding the Fourth Proportional to 517.53, 773.44 and 487.56

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Solution

The fourth proportional to 517.53, 773.44 and 487.56 is: 728.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.53 : 773.44 = 487.56 : x
  2. Step 2: Convert to fraction form
    517.53/773.44 = 487.56/x
  3. Step 3: Cross multiply
    517.53x = 773.44 × 487.56
  4. Step 4: Simplify right side
    517.53x = 377,098.41
  5. Step 5: Solve for x
    x = 377,098.41/517.53
  6. Step 6: Final answer
    x = 728.65

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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.