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Finding the Fourth Proportional to 493.81, 680.98 and 316.57

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Solution

The fourth proportional to 493.81, 680.98 and 316.57 is: 436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.81 : 680.98 = 316.57 : x
  2. Step 2: Convert to fraction form
    493.81/680.98 = 316.57/x
  3. Step 3: Cross multiply
    493.81x = 680.98 × 316.57
  4. Step 4: Simplify right side
    493.81x = 215,577.84
  5. Step 5: Solve for x
    x = 215,577.84/493.81
  6. Step 6: Final answer
    x = 436.56

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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.