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Finding the Fourth Proportional to 835.42, 1,248.58 and 769.75

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Solution

The fourth proportional to 835.42, 1,248.58 and 769.75 is: 1,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.42 : 1,248.58 = 769.75 : x
  2. Step 2: Convert to fraction form
    835.42/1,248.58 = 769.75/x
  3. Step 3: Cross multiply
    835.42x = 1,248.58 × 769.75
  4. Step 4: Simplify right side
    835.42x = 961,094.46
  5. Step 5: Solve for x
    x = 961,094.46/835.42
  6. Step 6: Final answer
    x = 1,150.43

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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.