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Finding the Fourth Proportional to 1,082.76, 1,623.45 and 824.43

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Solution

The fourth proportional to 1,082.76, 1,623.45 and 824.43 is: 1,236.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.76 : 1,623.45 = 824.43 : x
  2. Step 2: Convert to fraction form
    1,082.76/1,623.45 = 824.43/x
  3. Step 3: Cross multiply
    1,082.76x = 1,623.45 × 824.43
  4. Step 4: Simplify right side
    1,082.76x = 1,338,420.88
  5. Step 5: Solve for x
    x = 1,338,420.88/1,082.76
  6. Step 6: Final answer
    x = 1,236.12

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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.