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Finding the Fourth Proportional to 515.45, 771.71 and 466.79

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Solution

The fourth proportional to 515.45, 771.71 and 466.79 is: 698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.45 : 771.71 = 466.79 : x
  2. Step 2: Convert to fraction form
    515.45/771.71 = 466.79/x
  3. Step 3: Cross multiply
    515.45x = 771.71 × 466.79
  4. Step 4: Simplify right side
    515.45x = 360,227.68
  5. Step 5: Solve for x
    x = 360,227.68/515.45
  6. Step 6: Final answer
    x = 698.86

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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.