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Finding the Fourth Proportional to 577.42, 796.81 and 315.43

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Solution

The fourth proportional to 577.42, 796.81 and 315.43 is: 435.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.42 : 796.81 = 315.43 : x
  2. Step 2: Convert to fraction form
    577.42/796.81 = 315.43/x
  3. Step 3: Cross multiply
    577.42x = 796.81 × 315.43
  4. Step 4: Simplify right side
    577.42x = 251,337.78
  5. Step 5: Solve for x
    x = 251,337.78/577.42
  6. Step 6: Final answer
    x = 435.28

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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.