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Finding the Fourth Proportional to 622.88, 932.46 and 378.68

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Solution

The fourth proportional to 622.88, 932.46 and 378.68 is: 566.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.88 : 932.46 = 378.68 : x
  2. Step 2: Convert to fraction form
    622.88/932.46 = 378.68/x
  3. Step 3: Cross multiply
    622.88x = 932.46 × 378.68
  4. Step 4: Simplify right side
    622.88x = 353,103.95
  5. Step 5: Solve for x
    x = 353,103.95/622.88
  6. Step 6: Final answer
    x = 566.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.