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Finding the Fourth Proportional to 489.17, 673.92 and 341.57

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Solution

The fourth proportional to 489.17, 673.92 and 341.57 is: 470.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.17 : 673.92 = 341.57 : x
  2. Step 2: Convert to fraction form
    489.17/673.92 = 341.57/x
  3. Step 3: Cross multiply
    489.17x = 673.92 × 341.57
  4. Step 4: Simplify right side
    489.17x = 230,190.85
  5. Step 5: Solve for x
    x = 230,190.85/489.17
  6. Step 6: Final answer
    x = 470.57

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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.