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Finding the Fourth Proportional to 516.73, 774.87 and 321.44

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Solution

The fourth proportional to 516.73, 774.87 and 321.44 is: 482.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.73 : 774.87 = 321.44 : x
  2. Step 2: Convert to fraction form
    516.73/774.87 = 321.44/x
  3. Step 3: Cross multiply
    516.73x = 774.87 × 321.44
  4. Step 4: Simplify right side
    516.73x = 249,069.13
  5. Step 5: Solve for x
    x = 249,069.13/516.73
  6. Step 6: Final answer
    x = 482.01

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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.