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Finding the Fourth Proportional to 982.94, 1,474.41 and 334.13

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Solution

The fourth proportional to 982.94, 1,474.41 and 334.13 is: 501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.94 : 1,474.41 = 334.13 : x
  2. Step 2: Convert to fraction form
    982.94/1,474.41 = 334.13/x
  3. Step 3: Cross multiply
    982.94x = 1,474.41 × 334.13
  4. Step 4: Simplify right side
    982.94x = 492,644.61
  5. Step 5: Solve for x
    x = 492,644.61/982.94
  6. Step 6: Final answer
    x = 501.20

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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.