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Finding the Fourth Proportional to 516.78, 780.03 and 516.78

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Solution

The fourth proportional to 516.78, 780.03 and 516.78 is: 780.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.78 : 780.03 = 516.78 : x
  2. Step 2: Convert to fraction form
    516.78/780.03 = 516.78/x
  3. Step 3: Cross multiply
    516.78x = 780.03 × 516.78
  4. Step 4: Simplify right side
    516.78x = 403,103.90
  5. Step 5: Solve for x
    x = 403,103.90/516.78
  6. Step 6: Final answer
    x = 780.03

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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.