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Finding the Fourth Proportional to 422.04, 579.93 and 377.40

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Solution

The fourth proportional to 422.04, 579.93 and 377.40 is: 518.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.04 : 579.93 = 377.40 : x
  2. Step 2: Convert to fraction form
    422.04/579.93 = 377.40/x
  3. Step 3: Cross multiply
    422.04x = 579.93 × 377.40
  4. Step 4: Simplify right side
    422.04x = 218,865.58
  5. Step 5: Solve for x
    x = 218,865.58/422.04
  6. Step 6: Final answer
    x = 518.59

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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.