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Finding the Fourth Proportional to 562.22, 775.83 and 422.30

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Solution

The fourth proportional to 562.22, 775.83 and 422.30 is: 582.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.22 : 775.83 = 422.30 : x
  2. Step 2: Convert to fraction form
    562.22/775.83 = 422.30/x
  3. Step 3: Cross multiply
    562.22x = 775.83 × 422.30
  4. Step 4: Simplify right side
    562.22x = 327,633.01
  5. Step 5: Solve for x
    x = 327,633.01/562.22
  6. Step 6: Final answer
    x = 582.75

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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.