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Finding the Fourth Proportional to 491.22, 733.23 and 426.67

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Solution

The fourth proportional to 491.22, 733.23 and 426.67 is: 636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.22 : 733.23 = 426.67 : x
  2. Step 2: Convert to fraction form
    491.22/733.23 = 426.67/x
  3. Step 3: Cross multiply
    491.22x = 733.23 × 426.67
  4. Step 4: Simplify right side
    491.22x = 312,845.41
  5. Step 5: Solve for x
    x = 312,845.41/491.22
  6. Step 6: Final answer
    x = 636.87

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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.