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Finding the Fourth Proportional to 573.87, 792.38 and 449.31

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Solution

The fourth proportional to 573.87, 792.38 and 449.31 is: 620.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    573.87 : 792.38 = 449.31 : x
  2. Step 2: Convert to fraction form
    573.87/792.38 = 449.31/x
  3. Step 3: Cross multiply
    573.87x = 792.38 × 449.31
  4. Step 4: Simplify right side
    573.87x = 356,024.26
  5. Step 5: Solve for x
    x = 356,024.26/573.87
  6. Step 6: Final answer
    x = 620.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.