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Finding the Fourth Proportional to 663.80, 995.96 and 420.52

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Solution

The fourth proportional to 663.80, 995.96 and 420.52 is: 630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.80 : 995.96 = 420.52 : x
  2. Step 2: Convert to fraction form
    663.80/995.96 = 420.52/x
  3. Step 3: Cross multiply
    663.80x = 995.96 × 420.52
  4. Step 4: Simplify right side
    663.80x = 418,821.10
  5. Step 5: Solve for x
    x = 418,821.10/663.80
  6. Step 6: Final answer
    x = 630.94

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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.