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Finding the Fourth Proportional to 664.76, 995.42 and 340.28

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Solution

The fourth proportional to 664.76, 995.42 and 340.28 is: 509.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.76 : 995.42 = 340.28 : x
  2. Step 2: Convert to fraction form
    664.76/995.42 = 340.28/x
  3. Step 3: Cross multiply
    664.76x = 995.42 × 340.28
  4. Step 4: Simplify right side
    664.76x = 338,721.52
  5. Step 5: Solve for x
    x = 338,721.52/664.76
  6. Step 6: Final answer
    x = 509.54

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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.