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Finding the Fourth Proportional to 577.46, 797.56 and 381.86

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Solution

The fourth proportional to 577.46, 797.56 and 381.86 is: 527.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.46 : 797.56 = 381.86 : x
  2. Step 2: Convert to fraction form
    577.46/797.56 = 381.86/x
  3. Step 3: Cross multiply
    577.46x = 797.56 × 381.86
  4. Step 4: Simplify right side
    577.46x = 304,556.26
  5. Step 5: Solve for x
    x = 304,556.26/577.46
  6. Step 6: Final answer
    x = 527.41

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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.