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Finding the Fourth Proportional to 577.80, 796.68 and 447.30

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Solution

The fourth proportional to 577.80, 796.68 and 447.30 is: 616.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.80 : 796.68 = 447.30 : x
  2. Step 2: Convert to fraction form
    577.80/796.68 = 447.30/x
  3. Step 3: Cross multiply
    577.80x = 796.68 × 447.30
  4. Step 4: Simplify right side
    577.80x = 356,354.96
  5. Step 5: Solve for x
    x = 356,354.96/577.80
  6. Step 6: Final answer
    x = 616.74

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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.