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Finding the Fourth Proportional to 838.27, 1,256.13 and 426.79

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Solution

The fourth proportional to 838.27, 1,256.13 and 426.79 is: 639.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.27 : 1,256.13 = 426.79 : x
  2. Step 2: Convert to fraction form
    838.27/1,256.13 = 426.79/x
  3. Step 3: Cross multiply
    838.27x = 1,256.13 × 426.79
  4. Step 4: Simplify right side
    838.27x = 536,103.72
  5. Step 5: Solve for x
    x = 536,103.72/838.27
  6. Step 6: Final answer
    x = 639.54

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1.5x scale

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.