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Finding the Fourth Proportional to 836.92, 1,256.14 and 426.35

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Solution

The fourth proportional to 836.92, 1,256.14 and 426.35 is: 639.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.92 : 1,256.14 = 426.35 : x
  2. Step 2: Convert to fraction form
    836.92/1,256.14 = 426.35/x
  3. Step 3: Cross multiply
    836.92x = 1,256.14 × 426.35
  4. Step 4: Simplify right side
    836.92x = 535,549.01
  5. Step 5: Solve for x
    x = 535,549.01/836.92
  6. Step 6: Final answer
    x = 639.91

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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.