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Finding the Fourth Proportional to 785.00, 1,082.91 and 453.23

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Solution

The fourth proportional to 785.00, 1,082.91 and 453.23 is: 625.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.00 : 1,082.91 = 453.23 : x
  2. Step 2: Convert to fraction form
    785.00/1,082.91 = 453.23/x
  3. Step 3: Cross multiply
    785.00x = 1,082.91 × 453.23
  4. Step 4: Simplify right side
    785.00x = 490,799.62
  5. Step 5: Solve for x
    x = 490,799.62/785.00
  6. Step 6: Final answer
    x = 625.23

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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.