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Finding the Fourth Proportional to 492.69, 739.20 and 328.82

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Solution

The fourth proportional to 492.69, 739.20 and 328.82 is: 493.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.69 : 739.20 = 328.82 : x
  2. Step 2: Convert to fraction form
    492.69/739.20 = 328.82/x
  3. Step 3: Cross multiply
    492.69x = 739.20 × 328.82
  4. Step 4: Simplify right side
    492.69x = 243,060.05
  5. Step 5: Solve for x
    x = 243,060.05/492.69
  6. Step 6: Final answer
    x = 493.33

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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.