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Finding the Fourth Proportional to 515.98, 774.39 and 342.73

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Solution

The fourth proportional to 515.98, 774.39 and 342.73 is: 514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.98 : 774.39 = 342.73 : x
  2. Step 2: Convert to fraction form
    515.98/774.39 = 342.73/x
  3. Step 3: Cross multiply
    515.98x = 774.39 × 342.73
  4. Step 4: Simplify right side
    515.98x = 265,408.94
  5. Step 5: Solve for x
    x = 265,408.94/515.98
  6. Step 6: Final answer
    x = 514.38

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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.