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Finding the Fourth Proportional to 516.68, 772.15 and 420.60

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Solution

The fourth proportional to 516.68, 772.15 and 420.60 is: 628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 772.15 = 420.60 : x
  2. Step 2: Convert to fraction form
    516.68/772.15 = 420.60/x
  3. Step 3: Cross multiply
    516.68x = 772.15 × 420.60
  4. Step 4: Simplify right side
    516.68x = 324,766.29
  5. Step 5: Solve for x
    x = 324,766.29/516.68
  6. Step 6: Final answer
    x = 628.56

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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.