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Finding the Fourth Proportional to 576.76, 796.40 and 367.31

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Solution

The fourth proportional to 576.76, 796.40 and 367.31 is: 507.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.76 : 796.40 = 367.31 : x
  2. Step 2: Convert to fraction form
    576.76/796.40 = 367.31/x
  3. Step 3: Cross multiply
    576.76x = 796.40 × 367.31
  4. Step 4: Simplify right side
    576.76x = 292,525.68
  5. Step 5: Solve for x
    x = 292,525.68/576.76
  6. Step 6: Final answer
    x = 507.19

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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.