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Finding the Fourth Proportional to 499.66, 748.35 and 412.78

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Solution

The fourth proportional to 499.66, 748.35 and 412.78 is: 618.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.66 : 748.35 = 412.78 : x
  2. Step 2: Convert to fraction form
    499.66/748.35 = 412.78/x
  3. Step 3: Cross multiply
    499.66x = 748.35 × 412.78
  4. Step 4: Simplify right side
    499.66x = 308,903.91
  5. Step 5: Solve for x
    x = 308,903.91/499.66
  6. Step 6: Final answer
    x = 618.23

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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.