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Finding the Fourth Proportional to 422.35, 583.01 and 378.61

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Solution

The fourth proportional to 422.35, 583.01 and 378.61 is: 522.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    422.35 : 583.01 = 378.61 : x
  2. Step 2: Convert to fraction form
    422.35/583.01 = 378.61/x
  3. Step 3: Cross multiply
    422.35x = 583.01 × 378.61
  4. Step 4: Simplify right side
    422.35x = 220,733.42
  5. Step 5: Solve for x
    x = 220,733.42/422.35
  6. Step 6: Final answer
    x = 522.63

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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.