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Finding the Fourth Proportional to 516.75, 712.62 and 330.30

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Solution

The fourth proportional to 516.75, 712.62 and 330.30 is: 455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.75 : 712.62 = 330.30 : x
  2. Step 2: Convert to fraction form
    516.75/712.62 = 330.30/x
  3. Step 3: Cross multiply
    516.75x = 712.62 × 330.30
  4. Step 4: Simplify right side
    516.75x = 235,378.39
  5. Step 5: Solve for x
    x = 235,378.39/516.75
  6. Step 6: Final answer
    x = 455.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.