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Finding the Fourth Proportional to 451.76, 622.98 and 274.74

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Solution

The fourth proportional to 451.76, 622.98 and 274.74 is: 378.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 622.98 = 274.74 : x
  2. Step 2: Convert to fraction form
    451.76/622.98 = 274.74/x
  3. Step 3: Cross multiply
    451.76x = 622.98 × 274.74
  4. Step 4: Simplify right side
    451.76x = 171,158.69
  5. Step 5: Solve for x
    x = 171,158.69/451.76
  6. Step 6: Final answer
    x = 378.88

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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.