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Finding the Fourth Proportional to 577.81, 796.46 and 378.28

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Solution

The fourth proportional to 577.81, 796.46 and 378.28 is: 521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.81 : 796.46 = 378.28 : x
  2. Step 2: Convert to fraction form
    577.81/796.46 = 378.28/x
  3. Step 3: Cross multiply
    577.81x = 796.46 × 378.28
  4. Step 4: Simplify right side
    577.81x = 301,281.01
  5. Step 5: Solve for x
    x = 301,281.01/577.81
  6. Step 6: Final answer
    x = 521.42

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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.