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Finding the Fourth Proportional to 663.93, 995.76 and 253.13

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Solution

The fourth proportional to 663.93, 995.76 and 253.13 is: 379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.93 : 995.76 = 253.13 : x
  2. Step 2: Convert to fraction form
    663.93/995.76 = 253.13/x
  3. Step 3: Cross multiply
    663.93x = 995.76 × 253.13
  4. Step 4: Simplify right side
    663.93x = 252,051.75
  5. Step 5: Solve for x
    x = 252,051.75/663.93
  6. Step 6: Final answer
    x = 379.64

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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.