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Finding the Fourth Proportional to 982.89, 1,475.25 and 496.28

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Solution

The fourth proportional to 982.89, 1,475.25 and 496.28 is: 744.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.89 : 1,475.25 = 496.28 : x
  2. Step 2: Convert to fraction form
    982.89/1,475.25 = 496.28/x
  3. Step 3: Cross multiply
    982.89x = 1,475.25 × 496.28
  4. Step 4: Simplify right side
    982.89x = 732,138.90
  5. Step 5: Solve for x
    x = 732,138.90/982.89
  6. Step 6: Final answer
    x = 744.88

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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.