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Finding the Fourth Proportional to 517.45, 777.99 and 427.54

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Solution

The fourth proportional to 517.45, 777.99 and 427.54 is: 642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.45 : 777.99 = 427.54 : x
  2. Step 2: Convert to fraction form
    517.45/777.99 = 427.54/x
  3. Step 3: Cross multiply
    517.45x = 777.99 × 427.54
  4. Step 4: Simplify right side
    517.45x = 332,621.84
  5. Step 5: Solve for x
    x = 332,621.84/517.45
  6. Step 6: Final answer
    x = 642.81

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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.