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Finding the Fourth Proportional to 835.14, 1,251.66 and 424.38

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Solution

The fourth proportional to 835.14, 1,251.66 and 424.38 is: 636.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.14 : 1,251.66 = 424.38 : x
  2. Step 2: Convert to fraction form
    835.14/1,251.66 = 424.38/x
  3. Step 3: Cross multiply
    835.14x = 1,251.66 × 424.38
  4. Step 4: Simplify right side
    835.14x = 531,179.47
  5. Step 5: Solve for x
    x = 531,179.47/835.14
  6. Step 6: Final answer
    x = 636.04

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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.