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Finding the Fourth Proportional to 723.33, 995.79 and 649.49

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Solution

The fourth proportional to 723.33, 995.79 and 649.49 is: 894.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.33 : 995.79 = 649.49 : x
  2. Step 2: Convert to fraction form
    723.33/995.79 = 649.49/x
  3. Step 3: Cross multiply
    723.33x = 995.79 × 649.49
  4. Step 4: Simplify right side
    723.33x = 646,753.10
  5. Step 5: Solve for x
    x = 646,753.10/723.33
  6. Step 6: Final answer
    x = 894.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.