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Finding the Fourth Proportional to 1,082.16, 1,620.45 and 754.11

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Solution

The fourth proportional to 1,082.16, 1,620.45 and 754.11 is: 1,129.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.16 : 1,620.45 = 754.11 : x
  2. Step 2: Convert to fraction form
    1,082.16/1,620.45 = 754.11/x
  3. Step 3: Cross multiply
    1,082.16x = 1,620.45 × 754.11
  4. Step 4: Simplify right side
    1,082.16x = 1,221,997.55
  5. Step 5: Solve for x
    x = 1,221,997.55/1,082.16
  6. Step 6: Final answer
    x = 1,129.22

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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.