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Finding the Fourth Proportional to 963.68, 1,450.68 and 829.72

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Solution

The fourth proportional to 963.68, 1,450.68 and 829.72 is: 1,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.68 : 1,450.68 = 829.72 : x
  2. Step 2: Convert to fraction form
    963.68/1,450.68 = 829.72/x
  3. Step 3: Cross multiply
    963.68x = 1,450.68 × 829.72
  4. Step 4: Simplify right side
    963.68x = 1,203,658.21
  5. Step 5: Solve for x
    x = 1,203,658.21/963.68
  6. Step 6: Final answer
    x = 1,249.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.