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Finding the Fourth Proportional to 982.98, 1,474.36 and 397.88

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Solution

The fourth proportional to 982.98, 1,474.36 and 397.88 is: 596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.98 : 1,474.36 = 397.88 : x
  2. Step 2: Convert to fraction form
    982.98/1,474.36 = 397.88/x
  3. Step 3: Cross multiply
    982.98x = 1,474.36 × 397.88
  4. Step 4: Simplify right side
    982.98x = 586,618.36
  5. Step 5: Solve for x
    x = 586,618.36/982.98
  6. Step 6: Final answer
    x = 596.78

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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.