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Finding the Fourth Proportional to 836.95, 1,256.19 and 426.38

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Solution

The fourth proportional to 836.95, 1,256.19 and 426.38 is: 639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.95 : 1,256.19 = 426.38 : x
  2. Step 2: Convert to fraction form
    836.95/1,256.19 = 426.38/x
  3. Step 3: Cross multiply
    836.95x = 1,256.19 × 426.38
  4. Step 4: Simplify right side
    836.95x = 535,608.01
  5. Step 5: Solve for x
    x = 535,608.01/836.95
  6. Step 6: Final answer
    x = 639.95

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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.