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Finding the Fourth Proportional to 450.61, 620.58 and 422.83

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Solution

The fourth proportional to 450.61, 620.58 and 422.83 is: 582.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.61 : 620.58 = 422.83 : x
  2. Step 2: Convert to fraction form
    450.61/620.58 = 422.83/x
  3. Step 3: Cross multiply
    450.61x = 620.58 × 422.83
  4. Step 4: Simplify right side
    450.61x = 262,399.84
  5. Step 5: Solve for x
    x = 262,399.84/450.61
  6. Step 6: Final answer
    x = 582.32

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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.