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Finding the Fourth Proportional to 663.61, 995.42 and 339.21

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Solution

The fourth proportional to 663.61, 995.42 and 339.21 is: 508.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.61 : 995.42 = 339.21 : x
  2. Step 2: Convert to fraction form
    663.61/995.42 = 339.21/x
  3. Step 3: Cross multiply
    663.61x = 995.42 × 339.21
  4. Step 4: Simplify right side
    663.61x = 337,651.44
  5. Step 5: Solve for x
    x = 337,651.44/663.61
  6. Step 6: Final answer
    x = 508.81

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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.