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Finding the Fourth Proportional to 982.46, 1,472.88 and 519.96

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Solution

The fourth proportional to 982.46, 1,472.88 and 519.96 is: 779.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.46 : 1,472.88 = 519.96 : x
  2. Step 2: Convert to fraction form
    982.46/1,472.88 = 519.96/x
  3. Step 3: Cross multiply
    982.46x = 1,472.88 × 519.96
  4. Step 4: Simplify right side
    982.46x = 765,838.68
  5. Step 5: Solve for x
    x = 765,838.68/982.46
  6. Step 6: Final answer
    x = 779.51

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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.