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Finding the Fourth Proportional to 499.76, 746.32 and 426.80

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Solution

The fourth proportional to 499.76, 746.32 and 426.80 is: 637.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.76 : 746.32 = 426.80 : x
  2. Step 2: Convert to fraction form
    499.76/746.32 = 426.80/x
  3. Step 3: Cross multiply
    499.76x = 746.32 × 426.80
  4. Step 4: Simplify right side
    499.76x = 318,529.38
  5. Step 5: Solve for x
    x = 318,529.38/499.76
  6. Step 6: Final answer
    x = 637.36

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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.