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Finding the Fourth Proportional to 517.98, 774.65 and 460.56

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Solution

The fourth proportional to 517.98, 774.65 and 460.56 is: 688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.98 : 774.65 = 460.56 : x
  2. Step 2: Convert to fraction form
    517.98/774.65 = 460.56/x
  3. Step 3: Cross multiply
    517.98x = 774.65 × 460.56
  4. Step 4: Simplify right side
    517.98x = 356,772.80
  5. Step 5: Solve for x
    x = 356,772.80/517.98
  6. Step 6: Final answer
    x = 688.78

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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.