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Finding the Fourth Proportional to 451.76, 622.92 and 381.72

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Solution

The fourth proportional to 451.76, 622.92 and 381.72 is: 526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.76 : 622.92 = 381.72 : x
  2. Step 2: Convert to fraction form
    451.76/622.92 = 381.72/x
  3. Step 3: Cross multiply
    451.76x = 622.92 × 381.72
  4. Step 4: Simplify right side
    451.76x = 237,781.02
  5. Step 5: Solve for x
    x = 237,781.02/451.76
  6. Step 6: Final answer
    x = 526.34

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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.