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Finding the Fourth Proportional to 837.42, 1,257.95 and 426.45

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Solution

The fourth proportional to 837.42, 1,257.95 and 426.45 is: 640.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.42 : 1,257.95 = 426.45 : x
  2. Step 2: Convert to fraction form
    837.42/1,257.95 = 426.45/x
  3. Step 3: Cross multiply
    837.42x = 1,257.95 × 426.45
  4. Step 4: Simplify right side
    837.42x = 536,452.78
  5. Step 5: Solve for x
    x = 536,452.78/837.42
  6. Step 6: Final answer
    x = 640.60

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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.