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Finding the Fourth Proportional to 663.23, 995.12 and 355.43

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Solution

The fourth proportional to 663.23, 995.12 and 355.43 is: 533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.23 : 995.12 = 355.43 : x
  2. Step 2: Convert to fraction form
    663.23/995.12 = 355.43/x
  3. Step 3: Cross multiply
    663.23x = 995.12 × 355.43
  4. Step 4: Simplify right side
    663.23x = 353,693.72
  5. Step 5: Solve for x
    x = 353,693.72/663.23
  6. Step 6: Final answer
    x = 533.29

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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.