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Finding the Fourth Proportional to 489, 673.74 and 341.22

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Solution

The fourth proportional to 489, 673.74 and 341.22 is: 470.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    489 : 673.74 = 341.22 : x
  2. Step 2: Convert to fraction form
    489/673.74 = 341.22/x
  3. Step 3: Cross multiply
    489x = 673.74 × 341.22
  4. Step 4: Simplify right side
    489x = 229,893.56
  5. Step 5: Solve for x
    x = 229,893.56/489
  6. Step 6: Final answer
    x = 470.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.