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Finding the Fourth Proportional to 516.44, 770.50 and 459.56

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Solution

The fourth proportional to 516.44, 770.50 and 459.56 is: 685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.44 : 770.50 = 459.56 : x
  2. Step 2: Convert to fraction form
    516.44/770.50 = 459.56/x
  3. Step 3: Cross multiply
    516.44x = 770.50 × 459.56
  4. Step 4: Simplify right side
    516.44x = 354,090.98
  5. Step 5: Solve for x
    x = 354,090.98/516.44
  6. Step 6: Final answer
    x = 685.64

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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.