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Finding the Fourth Proportional to 576.63, 795.75 and 327.99

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Solution

The fourth proportional to 576.63, 795.75 and 327.99 is: 452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.63 : 795.75 = 327.99 : x
  2. Step 2: Convert to fraction form
    576.63/795.75 = 327.99/x
  3. Step 3: Cross multiply
    576.63x = 795.75 × 327.99
  4. Step 4: Simplify right side
    576.63x = 260,998.04
  5. Step 5: Solve for x
    x = 260,998.04/576.63
  6. Step 6: Final answer
    x = 452.63

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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.