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Finding the Fourth Proportional to 437.18, 656.28 and 426.74

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Solution

The fourth proportional to 437.18, 656.28 and 426.74 is: 640.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.18 : 656.28 = 426.74 : x
  2. Step 2: Convert to fraction form
    437.18/656.28 = 426.74/x
  3. Step 3: Cross multiply
    437.18x = 656.28 × 426.74
  4. Step 4: Simplify right side
    437.18x = 280,060.93
  5. Step 5: Solve for x
    x = 280,060.93/437.18
  6. Step 6: Final answer
    x = 640.61

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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.