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Finding the Fourth Proportional to 965.24, 1,447.80 and 271.95

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Solution

The fourth proportional to 965.24, 1,447.80 and 271.95 is: 407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.24 : 1,447.80 = 271.95 : x
  2. Step 2: Convert to fraction form
    965.24/1,447.80 = 271.95/x
  3. Step 3: Cross multiply
    965.24x = 1,447.80 × 271.95
  4. Step 4: Simplify right side
    965.24x = 393,729.21
  5. Step 5: Solve for x
    x = 393,729.21/965.24
  6. Step 6: Final answer
    x = 407.91

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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.