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Finding the Fourth Proportional to 577.34, 864.89 and 447.27

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Solution

The fourth proportional to 577.34, 864.89 and 447.27 is: 670.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.34 : 864.89 = 447.27 : x
  2. Step 2: Convert to fraction form
    577.34/864.89 = 447.27/x
  3. Step 3: Cross multiply
    577.34x = 864.89 × 447.27
  4. Step 4: Simplify right side
    577.34x = 386,839.35
  5. Step 5: Solve for x
    x = 386,839.35/577.34
  6. Step 6: Final answer
    x = 670.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.