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Finding the Fourth Proportional to 516.09, 774.68 and 379.20

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Solution

The fourth proportional to 516.09, 774.68 and 379.20 is: 569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.09 : 774.68 = 379.20 : x
  2. Step 2: Convert to fraction form
    516.09/774.68 = 379.20/x
  3. Step 3: Cross multiply
    516.09x = 774.68 × 379.20
  4. Step 4: Simplify right side
    516.09x = 293,756.76
  5. Step 5: Solve for x
    x = 293,756.76/516.09
  6. Step 6: Final answer
    x = 569.20

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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.