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Finding the Fourth Proportional to 499.32, 748.50 and 419.88

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Solution

The fourth proportional to 499.32, 748.50 and 419.88 is: 629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.32 : 748.50 = 419.88 : x
  2. Step 2: Convert to fraction form
    499.32/748.50 = 419.88/x
  3. Step 3: Cross multiply
    499.32x = 748.50 × 419.88
  4. Step 4: Simplify right side
    499.32x = 314,280.18
  5. Step 5: Solve for x
    x = 314,280.18/499.32
  6. Step 6: Final answer
    x = 629.42

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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.