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Finding the Fourth Proportional to 829.62, 1,249.35 and 774.95

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Solution

The fourth proportional to 829.62, 1,249.35 and 774.95 is: 1,167.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.62 : 1,249.35 = 774.95 : x
  2. Step 2: Convert to fraction form
    829.62/1,249.35 = 774.95/x
  3. Step 3: Cross multiply
    829.62x = 1,249.35 × 774.95
  4. Step 4: Simplify right side
    829.62x = 968,177.54
  5. Step 5: Solve for x
    x = 968,177.54/829.62
  6. Step 6: Final answer
    x = 1,167.01

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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.