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Finding the Fourth Proportional to 451.31, 622.58 and 285.46

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Solution

The fourth proportional to 451.31, 622.58 and 285.46 is: 393.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.31 : 622.58 = 285.46 : x
  2. Step 2: Convert to fraction form
    451.31/622.58 = 285.46/x
  3. Step 3: Cross multiply
    451.31x = 622.58 × 285.46
  4. Step 4: Simplify right side
    451.31x = 177,718.70
  5. Step 5: Solve for x
    x = 177,718.70/451.31
  6. Step 6: Final answer
    x = 393.79

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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.