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Finding the Fourth Proportional to 422.84, 587.55 and 418.34

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Solution

The fourth proportional to 422.84, 587.55 and 418.34 is: 581.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.84 : 587.55 = 418.34 : x
  2. Step 2: Convert to fraction form
    422.84/587.55 = 418.34/x
  3. Step 3: Cross multiply
    422.84x = 587.55 × 418.34
  4. Step 4: Simplify right side
    422.84x = 245,793.58
  5. Step 5: Solve for x
    x = 245,793.58/422.84
  6. Step 6: Final answer
    x = 581.29

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.