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Finding the Fourth Proportional to 577.81, 796.66 and 422.29

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Solution

The fourth proportional to 577.81, 796.66 and 422.29 is: 582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.81 : 796.66 = 422.29 : x
  2. Step 2: Convert to fraction form
    577.81/796.66 = 422.29/x
  3. Step 3: Cross multiply
    577.81x = 796.66 × 422.29
  4. Step 4: Simplify right side
    577.81x = 336,421.55
  5. Step 5: Solve for x
    x = 336,421.55/577.81
  6. Step 6: Final answer
    x = 582.24

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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.