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Finding the Fourth Proportional to 667.41, 998.04 and 519.48

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Solution

The fourth proportional to 667.41, 998.04 and 519.48 is: 776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.41 : 998.04 = 519.48 : x
  2. Step 2: Convert to fraction form
    667.41/998.04 = 519.48/x
  3. Step 3: Cross multiply
    667.41x = 998.04 × 519.48
  4. Step 4: Simplify right side
    667.41x = 518,461.82
  5. Step 5: Solve for x
    x = 518,461.82/667.41
  6. Step 6: Final answer
    x = 776.83

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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.