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Finding the Fourth Proportional to 963.21, 1,327.82 and 694.11

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Solution

The fourth proportional to 963.21, 1,327.82 and 694.11 is: 956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.21 : 1,327.82 = 694.11 : x
  2. Step 2: Convert to fraction form
    963.21/1,327.82 = 694.11/x
  3. Step 3: Cross multiply
    963.21x = 1,327.82 × 694.11
  4. Step 4: Simplify right side
    963.21x = 921,649.67
  5. Step 5: Solve for x
    x = 921,649.67/963.21
  6. Step 6: Final answer
    x = 956.85

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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.