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Finding the Fourth Proportional to 577.11, 863.96 and 371.07

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Solution

The fourth proportional to 577.11, 863.96 and 371.07 is: 555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.11 : 863.96 = 371.07 : x
  2. Step 2: Convert to fraction form
    577.11/863.96 = 371.07/x
  3. Step 3: Cross multiply
    577.11x = 863.96 × 371.07
  4. Step 4: Simplify right side
    577.11x = 320,589.64
  5. Step 5: Solve for x
    x = 320,589.64/577.11
  6. Step 6: Final answer
    x = 555.51

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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.