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Finding the Fourth Proportional to 654.85, 980.97 and 394.92

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Solution

The fourth proportional to 654.85, 980.97 and 394.92 is: 591.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.85 : 980.97 = 394.92 : x
  2. Step 2: Convert to fraction form
    654.85/980.97 = 394.92/x
  3. Step 3: Cross multiply
    654.85x = 980.97 × 394.92
  4. Step 4: Simplify right side
    654.85x = 387,402.47
  5. Step 5: Solve for x
    x = 387,402.47/654.85
  6. Step 6: Final answer
    x = 591.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.