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Finding the Fourth Proportional to 829.29, 1,248.89 and 755.48

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Solution

The fourth proportional to 829.29, 1,248.89 and 755.48 is: 1,137.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.29 : 1,248.89 = 755.48 : x
  2. Step 2: Convert to fraction form
    829.29/1,248.89 = 755.48/x
  3. Step 3: Cross multiply
    829.29x = 1,248.89 × 755.48
  4. Step 4: Simplify right side
    829.29x = 943,511.42
  5. Step 5: Solve for x
    x = 943,511.42/829.29
  6. Step 6: Final answer
    x = 1,137.73

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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.