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Finding the Fourth Proportional to 577.01, 796.31 and 328.40

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Solution

The fourth proportional to 577.01, 796.31 and 328.40 is: 453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.01 : 796.31 = 328.40 : x
  2. Step 2: Convert to fraction form
    577.01/796.31 = 328.40/x
  3. Step 3: Cross multiply
    577.01x = 796.31 × 328.40
  4. Step 4: Simplify right side
    577.01x = 261,513.12
  5. Step 5: Solve for x
    x = 261,513.12/577.01
  6. Step 6: Final answer
    x = 453.22

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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.