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Finding the Fourth Proportional to 577.10, 796.11 and 380.36

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Solution

The fourth proportional to 577.10, 796.11 and 380.36 is: 524.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.10 : 796.11 = 380.36 : x
  2. Step 2: Convert to fraction form
    577.10/796.11 = 380.36/x
  3. Step 3: Cross multiply
    577.10x = 796.11 × 380.36
  4. Step 4: Simplify right side
    577.10x = 302,808.40
  5. Step 5: Solve for x
    x = 302,808.40/577.10
  6. Step 6: Final answer
    x = 524.71

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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.