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Finding the Fourth Proportional to 515.97, 771.68 and 461.57

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Solution

The fourth proportional to 515.97, 771.68 and 461.57 is: 690.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 771.68 = 461.57 : x
  2. Step 2: Convert to fraction form
    515.97/771.68 = 461.57/x
  3. Step 3: Cross multiply
    515.97x = 771.68 × 461.57
  4. Step 4: Simplify right side
    515.97x = 356,178.17
  5. Step 5: Solve for x
    x = 356,178.17/515.97
  6. Step 6: Final answer
    x = 690.31

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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.