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Finding the Fourth Proportional to 516.22, 774.48 and 429.16

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Solution

The fourth proportional to 516.22, 774.48 and 429.16 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.22 : 774.48 = 429.16 : x
  2. Step 2: Convert to fraction form
    516.22/774.48 = 429.16/x
  3. Step 3: Cross multiply
    516.22x = 774.48 × 429.16
  4. Step 4: Simplify right side
    516.22x = 332,375.84
  5. Step 5: Solve for x
    x = 332,375.84/516.22
  6. Step 6: Final answer
    x = 643.86

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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.