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Finding the Fourth Proportional to 1,388.48, 2,082.68 and 451.42

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Solution

The fourth proportional to 1,388.48, 2,082.68 and 451.42 is: 677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.48 : 2,082.68 = 451.42 : x
  2. Step 2: Convert to fraction form
    1,388.48/2,082.68 = 451.42/x
  3. Step 3: Cross multiply
    1,388.48x = 2,082.68 × 451.42
  4. Step 4: Simplify right side
    1,388.48x = 940,151.86
  5. Step 5: Solve for x
    x = 940,151.86/1,388.48
  6. Step 6: Final answer
    x = 677.11

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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.