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Finding the Fourth Proportional to 835.57, 1,253.49 and 424.54

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Solution

The fourth proportional to 835.57, 1,253.49 and 424.54 is: 636.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.57 : 1,253.49 = 424.54 : x
  2. Step 2: Convert to fraction form
    835.57/1,253.49 = 424.54/x
  3. Step 3: Cross multiply
    835.57x = 1,253.49 × 424.54
  4. Step 4: Simplify right side
    835.57x = 532,156.64
  5. Step 5: Solve for x
    x = 532,156.64/835.57
  6. Step 6: Final answer
    x = 636.88

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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.