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Finding the Fourth Proportional to 488.41, 673.94 and 322.31

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Solution

The fourth proportional to 488.41, 673.94 and 322.31 is: 444.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.41 : 673.94 = 322.31 : x
  2. Step 2: Convert to fraction form
    488.41/673.94 = 322.31/x
  3. Step 3: Cross multiply
    488.41x = 673.94 × 322.31
  4. Step 4: Simplify right side
    488.41x = 217,220.09
  5. Step 5: Solve for x
    x = 217,220.09/488.41
  6. Step 6: Final answer
    x = 444.75

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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.