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Finding the Fourth Proportional to 1,082.20, 1,623.30 and 757.72

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Solution

The fourth proportional to 1,082.20, 1,623.30 and 757.72 is: 1,136.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.20 : 1,623.30 = 757.72 : x
  2. Step 2: Convert to fraction form
    1,082.20/1,623.30 = 757.72/x
  3. Step 3: Cross multiply
    1,082.20x = 1,623.30 × 757.72
  4. Step 4: Simplify right side
    1,082.20x = 1,230,006.88
  5. Step 5: Solve for x
    x = 1,230,006.88/1,082.20
  6. Step 6: Final answer
    x = 1,136.58

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1.5x scale

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.