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Finding the Fourth Proportional to 516.22, 778.27 and 435.64

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Solution

The fourth proportional to 516.22, 778.27 and 435.64 is: 656.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.22 : 778.27 = 435.64 : x
  2. Step 2: Convert to fraction form
    516.22/778.27 = 435.64/x
  3. Step 3: Cross multiply
    516.22x = 778.27 × 435.64
  4. Step 4: Simplify right side
    516.22x = 339,045.54
  5. Step 5: Solve for x
    x = 339,045.54/516.22
  6. Step 6: Final answer
    x = 656.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.