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Finding the Fourth Proportional to 461.12, 687.40 and 426.56

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Solution

The fourth proportional to 461.12, 687.40 and 426.56 is: 635.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 687.40 = 426.56 : x
  2. Step 2: Convert to fraction form
    461.12/687.40 = 426.56/x
  3. Step 3: Cross multiply
    461.12x = 687.40 × 426.56
  4. Step 4: Simplify right side
    461.12x = 293,217.34
  5. Step 5: Solve for x
    x = 293,217.34/461.12
  6. Step 6: Final answer
    x = 635.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.