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Finding the Fourth Proportional to 414.58, 572.58 and 322.43

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Solution

The fourth proportional to 414.58, 572.58 and 322.43 is: 445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.58 : 572.58 = 322.43 : x
  2. Step 2: Convert to fraction form
    414.58/572.58 = 322.43/x
  3. Step 3: Cross multiply
    414.58x = 572.58 × 322.43
  4. Step 4: Simplify right side
    414.58x = 184,616.97
  5. Step 5: Solve for x
    x = 184,616.97/414.58
  6. Step 6: Final answer
    x = 445.31

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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.