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Finding the Fourth Proportional to 422.67, 583.85 and 340.09

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Solution

The fourth proportional to 422.67, 583.85 and 340.09 is: 469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.67 : 583.85 = 340.09 : x
  2. Step 2: Convert to fraction form
    422.67/583.85 = 340.09/x
  3. Step 3: Cross multiply
    422.67x = 583.85 × 340.09
  4. Step 4: Simplify right side
    422.67x = 198,558.39
  5. Step 5: Solve for x
    x = 198,558.39/422.67
  6. Step 6: Final answer
    x = 469.78

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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.