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Finding the Fourth Proportional to 515.95, 774.19 and 281.85

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Solution

The fourth proportional to 515.95, 774.19 and 281.85 is: 422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.95 : 774.19 = 281.85 : x
  2. Step 2: Convert to fraction form
    515.95/774.19 = 281.85/x
  3. Step 3: Cross multiply
    515.95x = 774.19 × 281.85
  4. Step 4: Simplify right side
    515.95x = 218,205.45
  5. Step 5: Solve for x
    x = 218,205.45/515.95
  6. Step 6: Final answer
    x = 422.92

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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.