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Finding the Fourth Proportional to 664.13, 995.83 and 433.10

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Solution

The fourth proportional to 664.13, 995.83 and 433.10 is: 649.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.13 : 995.83 = 433.10 : x
  2. Step 2: Convert to fraction form
    664.13/995.83 = 433.10/x
  3. Step 3: Cross multiply
    664.13x = 995.83 × 433.10
  4. Step 4: Simplify right side
    664.13x = 431,287.91
  5. Step 5: Solve for x
    x = 431,287.91/664.13
  6. Step 6: Final answer
    x = 649.41

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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.