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Finding the Fourth Proportional to 515.45, 773.94 and 412.43

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Solution

The fourth proportional to 515.45, 773.94 and 412.43 is: 619.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.45 : 773.94 = 412.43 : x
  2. Step 2: Convert to fraction form
    515.45/773.94 = 412.43/x
  3. Step 3: Cross multiply
    515.45x = 773.94 × 412.43
  4. Step 4: Simplify right side
    515.45x = 319,190.14
  5. Step 5: Solve for x
    x = 319,190.14/515.45
  6. Step 6: Final answer
    x = 619.25

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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.