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Finding the Fourth Proportional to 982.70, 1,474.10 and 397.79

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Solution

The fourth proportional to 982.70, 1,474.10 and 397.79 is: 596.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.70 : 1,474.10 = 397.79 : x
  2. Step 2: Convert to fraction form
    982.70/1,474.10 = 397.79/x
  3. Step 3: Cross multiply
    982.70x = 1,474.10 × 397.79
  4. Step 4: Simplify right side
    982.70x = 586,372.88
  5. Step 5: Solve for x
    x = 586,372.88/982.70
  6. Step 6: Final answer
    x = 596.70

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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.