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Finding the Fourth Proportional to 664.09, 995.40 and 355.17

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Solution

The fourth proportional to 664.09, 995.40 and 355.17 is: 532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.09 : 995.40 = 355.17 : x
  2. Step 2: Convert to fraction form
    664.09/995.40 = 355.17/x
  3. Step 3: Cross multiply
    664.09x = 995.40 × 355.17
  4. Step 4: Simplify right side
    664.09x = 353,539.95
  5. Step 5: Solve for x
    x = 353,539.95/664.09
  6. Step 6: Final answer
    x = 532.37

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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.