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Finding the Fourth Proportional to 664.69, 995.20 and 501.88

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Solution

The fourth proportional to 664.69, 995.20 and 501.88 is: 751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.69 : 995.20 = 501.88 : x
  2. Step 2: Convert to fraction form
    664.69/995.20 = 501.88/x
  3. Step 3: Cross multiply
    664.69x = 995.20 × 501.88
  4. Step 4: Simplify right side
    664.69x = 499,470.98
  5. Step 5: Solve for x
    x = 499,470.98/664.69
  6. Step 6: Final answer
    x = 751.43

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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.