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Finding the Fourth Proportional to 451.70, 619.89 and 422.90

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Solution

The fourth proportional to 451.70, 619.89 and 422.90 is: 580.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.70 : 619.89 = 422.90 : x
  2. Step 2: Convert to fraction form
    451.70/619.89 = 422.90/x
  3. Step 3: Cross multiply
    451.70x = 619.89 × 422.90
  4. Step 4: Simplify right side
    451.70x = 262,149.37
  5. Step 5: Solve for x
    x = 262,149.37/451.70
  6. Step 6: Final answer
    x = 580.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.