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Finding the Fourth Proportional to 835.12, 1,249.96 and 711.48

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Solution

The fourth proportional to 835.12, 1,249.96 and 711.48 is: 1,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.12 : 1,249.96 = 711.48 : x
  2. Step 2: Convert to fraction form
    835.12/1,249.96 = 711.48/x
  3. Step 3: Cross multiply
    835.12x = 1,249.96 × 711.48
  4. Step 4: Simplify right side
    835.12x = 889,321.54
  5. Step 5: Solve for x
    x = 889,321.54/835.12
  6. Step 6: Final answer
    x = 1,064.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.