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Finding the Fourth Proportional to 837.04, 1,255.24 and 426

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Solution

The fourth proportional to 837.04, 1,255.24 and 426 is: 638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.04 : 1,255.24 = 426 : x
  2. Step 2: Convert to fraction form
    837.04/1,255.24 = 426/x
  3. Step 3: Cross multiply
    837.04x = 1,255.24 × 426
  4. Step 4: Simplify right side
    837.04x = 534,732.24
  5. Step 5: Solve for x
    x = 534,732.24/837.04
  6. Step 6: Final answer
    x = 638.84

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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.