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Finding the Fourth Proportional to 982.19, 1,354.89 and 824.99

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Solution

The fourth proportional to 982.19, 1,354.89 and 824.99 is: 1,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.19 : 1,354.89 = 824.99 : x
  2. Step 2: Convert to fraction form
    982.19/1,354.89 = 824.99/x
  3. Step 3: Cross multiply
    982.19x = 1,354.89 × 824.99
  4. Step 4: Simplify right side
    982.19x = 1,117,770.70
  5. Step 5: Solve for x
    x = 1,117,770.70/982.19
  6. Step 6: Final answer
    x = 1,138.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.