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Finding the Fourth Proportional to 835.90, 1,253.42 and 424.42

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Solution

The fourth proportional to 835.90, 1,253.42 and 424.42 is: 636.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.90 : 1,253.42 = 424.42 : x
  2. Step 2: Convert to fraction form
    835.90/1,253.42 = 424.42/x
  3. Step 3: Cross multiply
    835.90x = 1,253.42 × 424.42
  4. Step 4: Simplify right side
    835.90x = 531,976.52
  5. Step 5: Solve for x
    x = 531,976.52/835.90
  6. Step 6: Final answer
    x = 636.41

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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.