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Finding the Fourth Proportional to 982.77, 1,474.00 and 252.31

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Solution

The fourth proportional to 982.77, 1,474.00 and 252.31 is: 378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.77 : 1,474.00 = 252.31 : x
  2. Step 2: Convert to fraction form
    982.77/1,474.00 = 252.31/x
  3. Step 3: Cross multiply
    982.77x = 1,474.00 × 252.31
  4. Step 4: Simplify right side
    982.77x = 371,900.62
  5. Step 5: Solve for x
    x = 371,900.62/982.77
  6. Step 6: Final answer
    x = 378.42

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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.