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Finding the Fourth Proportional to 663.25, 995.34 and 386.07

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Solution

The fourth proportional to 663.25, 995.34 and 386.07 is: 579.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.25 : 995.34 = 386.07 : x
  2. Step 2: Convert to fraction form
    663.25/995.34 = 386.07/x
  3. Step 3: Cross multiply
    663.25x = 995.34 × 386.07
  4. Step 4: Simplify right side
    663.25x = 384,266.46
  5. Step 5: Solve for x
    x = 384,266.46/663.25
  6. Step 6: Final answer
    x = 579.37

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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.