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Finding the Fourth Proportional to 835.21, 1,248.22 and 769.53

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Solution

The fourth proportional to 835.21, 1,248.22 and 769.53 is: 1,150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.21 : 1,248.22 = 769.53 : x
  2. Step 2: Convert to fraction form
    835.21/1,248.22 = 769.53/x
  3. Step 3: Cross multiply
    835.21x = 1,248.22 × 769.53
  4. Step 4: Simplify right side
    835.21x = 960,542.74
  5. Step 5: Solve for x
    x = 960,542.74/835.21
  6. Step 6: Final answer
    x = 1,150.06

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.