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Finding the Fourth Proportional to 1,388.24, 2,082.58 and 414.24

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Solution

The fourth proportional to 1,388.24, 2,082.58 and 414.24 is: 621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,388.24 : 2,082.58 = 414.24 : x
  2. Step 2: Convert to fraction form
    1,388.24/2,082.58 = 414.24/x
  3. Step 3: Cross multiply
    1,388.24x = 2,082.58 × 414.24
  4. Step 4: Simplify right side
    1,388.24x = 862,687.94
  5. Step 5: Solve for x
    x = 862,687.94/1,388.24
  6. Step 6: Final answer
    x = 621.43

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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.