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Finding the Fourth Proportional to 452.63, 619.24 and 450.83

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Solution

The fourth proportional to 452.63, 619.24 and 450.83 is: 616.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.63 : 619.24 = 450.83 : x
  2. Step 2: Convert to fraction form
    452.63/619.24 = 450.83/x
  3. Step 3: Cross multiply
    452.63x = 619.24 × 450.83
  4. Step 4: Simplify right side
    452.63x = 279,171.97
  5. Step 5: Solve for x
    x = 279,171.97/452.63
  6. Step 6: Final answer
    x = 616.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.