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Finding the Fourth Proportional to 564.27, 779.52 and 447.03

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Solution

The fourth proportional to 564.27, 779.52 and 447.03 is: 617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564.27 : 779.52 = 447.03 : x
  2. Step 2: Convert to fraction form
    564.27/779.52 = 447.03/x
  3. Step 3: Cross multiply
    564.27x = 779.52 × 447.03
  4. Step 4: Simplify right side
    564.27x = 348,468.83
  5. Step 5: Solve for x
    x = 348,468.83/564.27
  6. Step 6: Final answer
    x = 617.56

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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.