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Finding the Fourth Proportional to 516.58, 773.98 and 386.30

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Solution

The fourth proportional to 516.58, 773.98 and 386.30 is: 578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.58 : 773.98 = 386.30 : x
  2. Step 2: Convert to fraction form
    516.58/773.98 = 386.30/x
  3. Step 3: Cross multiply
    516.58x = 773.98 × 386.30
  4. Step 4: Simplify right side
    516.58x = 298,988.47
  5. Step 5: Solve for x
    x = 298,988.47/516.58
  6. Step 6: Final answer
    x = 578.78

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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.