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Finding the Fourth Proportional to 1,082.11, 1,622.18 and 388.61

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Solution

The fourth proportional to 1,082.11, 1,622.18 and 388.61 is: 582.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.11 : 1,622.18 = 388.61 : x
  2. Step 2: Convert to fraction form
    1,082.11/1,622.18 = 388.61/x
  3. Step 3: Cross multiply
    1,082.11x = 1,622.18 × 388.61
  4. Step 4: Simplify right side
    1,082.11x = 630,398.08
  5. Step 5: Solve for x
    x = 630,398.08/1,082.11
  6. Step 6: Final answer
    x = 582.57

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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.