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Finding the Fourth Proportional to 966.63, 1,332.97 and 827.21

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Solution

The fourth proportional to 966.63, 1,332.97 and 827.21 is: 1,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.63 : 1,332.97 = 827.21 : x
  2. Step 2: Convert to fraction form
    966.63/1,332.97 = 827.21/x
  3. Step 3: Cross multiply
    966.63x = 1,332.97 × 827.21
  4. Step 4: Simplify right side
    966.63x = 1,102,652.03
  5. Step 5: Solve for x
    x = 1,102,652.03/966.63
  6. Step 6: Final answer
    x = 1,140.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.