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Finding the Fourth Proportional to 1,082.99, 1,624.89 and 811.37

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Solution

The fourth proportional to 1,082.99, 1,624.89 and 811.37 is: 1,217.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.99 : 1,624.89 = 811.37 : x
  2. Step 2: Convert to fraction form
    1,082.99/1,624.89 = 811.37/x
  3. Step 3: Cross multiply
    1,082.99x = 1,624.89 × 811.37
  4. Step 4: Simplify right side
    1,082.99x = 1,318,394.10
  5. Step 5: Solve for x
    x = 1,318,394.10/1,082.99
  6. Step 6: Final answer
    x = 1,217.36

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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.