Home / 1,082.04-1,623.08-301.96

Finding the Fourth Proportional to 1,082.04, 1,623.08 and 301.96

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Solution

The fourth proportional to 1,082.04, 1,623.08 and 301.96 is: 452.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.04 : 1,623.08 = 301.96 : x
  2. Step 2: Convert to fraction form
    1,082.04/1,623.08 = 301.96/x
  3. Step 3: Cross multiply
    1,082.04x = 1,623.08 × 301.96
  4. Step 4: Simplify right side
    1,082.04x = 490,105.24
  5. Step 5: Solve for x
    x = 490,105.24/1,082.04
  6. Step 6: Final answer
    x = 452.95

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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.