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Finding the Fourth Proportional to 963.88, 1,447.26 and 503.08

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Solution

The fourth proportional to 963.88, 1,447.26 and 503.08 is: 755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.88 : 1,447.26 = 503.08 : x
  2. Step 2: Convert to fraction form
    963.88/1,447.26 = 503.08/x
  3. Step 3: Cross multiply
    963.88x = 1,447.26 × 503.08
  4. Step 4: Simplify right side
    963.88x = 728,087.56
  5. Step 5: Solve for x
    x = 728,087.56/963.88
  6. Step 6: Final answer
    x = 755.37

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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.