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Finding the Fourth Proportional to 577.05, 796.03 and 380.49

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Solution

The fourth proportional to 577.05, 796.03 and 380.49 is: 524.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.05 : 796.03 = 380.49 : x
  2. Step 2: Convert to fraction form
    577.05/796.03 = 380.49/x
  3. Step 3: Cross multiply
    577.05x = 796.03 × 380.49
  4. Step 4: Simplify right side
    577.05x = 302,881.45
  5. Step 5: Solve for x
    x = 302,881.45/577.05
  6. Step 6: Final answer
    x = 524.88

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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.