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Finding the Fourth Proportional to 515.62, 772.91 and 329.95

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Solution

The fourth proportional to 515.62, 772.91 and 329.95 is: 494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.62 : 772.91 = 329.95 : x
  2. Step 2: Convert to fraction form
    515.62/772.91 = 329.95/x
  3. Step 3: Cross multiply
    515.62x = 772.91 × 329.95
  4. Step 4: Simplify right side
    515.62x = 255,022.21
  5. Step 5: Solve for x
    x = 255,022.21/515.62
  6. Step 6: Final answer
    x = 494.59

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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.