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Finding the Fourth Proportional to 622.16, 932.76 and 378.56

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Solution

The fourth proportional to 622.16, 932.76 and 378.56 is: 567.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.16 : 932.76 = 378.56 : x
  2. Step 2: Convert to fraction form
    622.16/932.76 = 378.56/x
  3. Step 3: Cross multiply
    622.16x = 932.76 × 378.56
  4. Step 4: Simplify right side
    622.16x = 353,105.63
  5. Step 5: Solve for x
    x = 353,105.63/622.16
  6. Step 6: Final answer
    x = 567.55

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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.