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Finding the Fourth Proportional to 835.68, 1,251.60 and 450

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Solution

The fourth proportional to 835.68, 1,251.60 and 450 is: 673.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.68 : 1,251.60 = 450 : x
  2. Step 2: Convert to fraction form
    835.68/1,251.60 = 450/x
  3. Step 3: Cross multiply
    835.68x = 1,251.60 × 450
  4. Step 4: Simplify right side
    835.68x = 563,220
  5. Step 5: Solve for x
    x = 563,220/835.68
  6. Step 6: Final answer
    x = 673.97

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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.