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Finding the Fourth Proportional to 562.44, 775.29 and 422.37

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Solution

The fourth proportional to 562.44, 775.29 and 422.37 is: 582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.44 : 775.29 = 422.37 : x
  2. Step 2: Convert to fraction form
    562.44/775.29 = 422.37/x
  3. Step 3: Cross multiply
    562.44x = 775.29 × 422.37
  4. Step 4: Simplify right side
    562.44x = 327,459.24
  5. Step 5: Solve for x
    x = 327,459.24/562.44
  6. Step 6: Final answer
    x = 582.21

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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.