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Finding the Fourth Proportional to 982.28, 1,469.70 and 585.49

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Solution

The fourth proportional to 982.28, 1,469.70 and 585.49 is: 876.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.28 : 1,469.70 = 585.49 : x
  2. Step 2: Convert to fraction form
    982.28/1,469.70 = 585.49/x
  3. Step 3: Cross multiply
    982.28x = 1,469.70 × 585.49
  4. Step 4: Simplify right side
    982.28x = 860,492.44
  5. Step 5: Solve for x
    x = 860,492.44/982.28
  6. Step 6: Final answer
    x = 876.02

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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.