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Finding the Fourth Proportional to 663.69, 995.43 and 416.91

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Solution

The fourth proportional to 663.69, 995.43 and 416.91 is: 625.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.69 : 995.43 = 416.91 : x
  2. Step 2: Convert to fraction form
    663.69/995.43 = 416.91/x
  3. Step 3: Cross multiply
    663.69x = 995.43 × 416.91
  4. Step 4: Simplify right side
    663.69x = 415,010.02
  5. Step 5: Solve for x
    x = 415,010.02/663.69
  6. Step 6: Final answer
    x = 625.30

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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.