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Finding the Fourth Proportional to 451.41, 622.83 and 346.59

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Solution

The fourth proportional to 451.41, 622.83 and 346.59 is: 478.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.41 : 622.83 = 346.59 : x
  2. Step 2: Convert to fraction form
    451.41/622.83 = 346.59/x
  3. Step 3: Cross multiply
    451.41x = 622.83 × 346.59
  4. Step 4: Simplify right side
    451.41x = 215,866.65
  5. Step 5: Solve for x
    x = 215,866.65/451.41
  6. Step 6: Final answer
    x = 478.21

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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.