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Finding the Fourth Proportional to 515.12, 771.78 and 406.14

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Solution

The fourth proportional to 515.12, 771.78 and 406.14 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 771.78 = 406.14 : x
  2. Step 2: Convert to fraction form
    515.12/771.78 = 406.14/x
  3. Step 3: Cross multiply
    515.12x = 771.78 × 406.14
  4. Step 4: Simplify right side
    515.12x = 313,450.73
  5. Step 5: Solve for x
    x = 313,450.73/515.12
  6. Step 6: Final answer
    x = 608.50

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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.